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Classification of isoparametric submanifolds admitting a reflective focal...

Naoyuki Koike. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 207--246.Abstract: In this paper, we assume that all isoparametric submanifolds have flat section. The main purpose of this...

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Global asymptotics toward the rarefaction waves for solutions to the Cauchy...

Akitaka Matsumura, Natsumi Yoshida. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 187--205.Abstract: In this paper, we investigate the asymptotic behavior of solutions to the Cauchy...

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Semi-discrete linear Weingarten surfaces with Weierstrass-type...

Masashi Yasumoto, Wayne Rossman. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 169--185.Abstract: We establish what semi-discrete linear Weingarten surfaces with Weierstrass-type...

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Iterated circle bundles and infranilmanifolds

Igor Belegradek. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 165--168.Abstract: We give short proofs of the following two facts: Iterated principal circle bundles are precisely the...

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An estimate of the first non-zero eigenvalue of the Laplacian by the Ricci...

Taiki Yamada. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 151--163.Abstract: We define the distance between edges of graphs and study the coarse Ricci curvature on edges. We consider the...

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Intersection number and some metrics on Teichmüller space

Zongliang Sun, Hui Guo. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 141--149.Abstract: Let $T(X)$ be the Teichmüller space of a closed surface $X$ of genus $g \geq 2,$ $C(X)$ be the...

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Generalized Heegaard Splittings and the Disk Complex

Jungsoo Kim. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 103--140.Abstract: Let $M$ be an orientable, irreducible $3$-manifold and $(\mathcal{V},\mathcal{W};F)$ a weakly reducible,...

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On Deviations and Spreads of Meromorphic Minimal Surfaces

Arnold Kowalski, Ivan Marchenko. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 85--101.Abstract: In this paper we consider the influence that the number of separated maximum points of the...

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Initial boundary value problem for 3D Boussinesq system with the thermal damping

Yanghai Yu, Yanbin Tang. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 61--83.Abstract: In this paper we consider the initial boundary value problem for the 3D Boussinesq system with the...

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Examples of singular toric varieties with certain numerical conditions

Hiroshi Sato, Yusuke Suyama. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 51--59.Abstract: We give various examples of $\mathbb{Q}$-factorial projective toric varieties such that the sum...

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Some remarks on PL collapsible covers of 2-dimensional polyhedra

Eugenio Borghini. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 39--49.Abstract: We analyze the topology and geometry of a polyhedron of dimension 2 according to the minimum size of a...

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On diagrams of simplified trisections and mapping class groups

Kenta Hayano. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 17--37.Abstract: A simplified trisection is a trisection map on a 4--manifold such that, in its critical value set, there is no...

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Semistable fibrations over an elliptic curve with only one singular fibre

Abel Castorena, Margarida Mendes Lopes, Gian Pietro Pirola. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 9--15.Abstract: In this work we describe a construction of semistable fibrations...

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Spheres not admitting smooth odd-fixed-point actions of $S_5$ and...

Masaharu Morimoto, Shunsuke Tamura. Source: Osaka Journal of Mathematics, Volume 57, Number 1, 1--8.Abstract: Let $G$ be a finite group and $\Sigma$ a homology sphere with smooth $G$-action. If the...

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ERRATA: ``On generalized Dold manifolds'' Osaka J. Math. 56 (2019), 75--90

Avijit Nath, Parameswaran Sankaran. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 505--506.

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On the slope of rational fibered surfaces

Margarita Castañeda-salazar, Alexis G. Zamora. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 493--504.Abstract: Given a rational fibered surface $f:X \to \mathbb{P}^1$ of genus $g$ we...

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Tropicalization of 1-tacnodal curves on toric surfaces

Takuhiro Takahashi. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 451--491.Abstract: A degeneration of a singular curve on a toric surface, called a tropicalization, was constructed by E....

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An estimate for surface measure of small balls in Carnot groups

Alexey Rudenko. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 425--450.Abstract: We introduce a family of quasidistances in ${\mathbb R}^d$, such that some of them are equivalent to...

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Error analysis for approximations to one-dimensional SDEs via the...

Shigeki Aida, Nobuaki Naganuma. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 381--424.Abstract: We study asymptotic error distributions associated with standard approximation scheme for...

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Spectrum of generalized Hodge-Laplace operators on flat tori and round spheres

Stine Franziska Beitz. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 357--379.Abstract: We consider generalized Hodge-Laplace operators $\alpha d \delta + \beta \delta d$ for $\alpha,...

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Graph invariants and Betti numbers of real toric manifolds

Boram Park, Hanchul Park, Seonjeong Park. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 333--356.Abstract: For a graph $G$, the graph cubeahedron $\square_G$ and the graph associahedron...

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Remarks on the derivation of several second order partial differential...

Makoto Nakamura. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 305--331.Abstract: A generalization of the Einstein equations with the cosmological constant is considered for complex line...

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Knots with Hopf crossing number at most one

Maciej Mroczkowski. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 279--304.Abstract: We consider diagrams of links in $S^2$ obtained by projection from $S^3$ with the Hopf map and the...

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2-stratifold spines of closed 3-manifolds

J.C. Gómez-larrañaga, F. González-acuña, Wolfgang Heil. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 267--277.Abstract: $2$-stratifolds are a generalization of $2$-manifolds in that there...

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Solvability of some integro-differential equations with drift

Messoud Efendiev, Vitali Vougalter. Source: Osaka Journal of Mathematics, Volume 57, Number 2, 247--265.Abstract: We prove the existence in the sense of sequences of solutions for some...

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An invariant derived from the Alexander polynomial for handlebody-knots

Shin'ya Okazaki. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 737--750.Abstract: A handlebody-knot is a handlebody embedded in the $3$-sphere. We introduce an invariant for...

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On some relatively cuspidal representations: Cases of Galois and inner...

Shin-ichi Kato, Keiji Takano. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 711--736.Abstract: Relatively cuspidal representations attached to a $p$-adic symmetric space $G/H$ are thought...

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Mutations and Pointing for Brauer Tree Algebras

Mary Schaps, Zehavit Zvi. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 689--709.Abstract: Brauer tree algebras are important and fundamental blocks in the representation theory of finite...

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Evolution of relative Yamabe constant under Ricci Flow

Boris Botvinnik, Peng Lu. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 679--687.Abstract: Let $W$ be a manifold with boundary $M$ given together with a conformal class $\bar C$ which...

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Goeritz and Seifert Matrices from Dehn Presentations

Daniel S. Silver, Lorenzo Traldi, Susan G. Williams. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 663--677.Abstract: The Goeritz matrix of a link is obtained from the Jacobian matrix of a...

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Extrinsic symmetric subspaces

Jost Eschenburg, Makiko Sumi Tanaka. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 655--661.Abstract: An extrinsic symmetric space is a submanifold $M\subset V = {\mathbb R}^n$ which is...

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Bowman-Bradley type theorem for finite multiple zeta values in...

Hideki Murahara, Tomokazu Onozuka, Shin-ichiro Seki. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 647--653.Abstract: Bowman and Bradley obtained a remarkable formula among multiple zeta...

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Smoothing of semistable Fano varieties

Junchao Shentu. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 617--645.Abstract: In this paper we study the smoothing of a semistable Fano variety over a perfect field $k$. In...

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Cauchy problem for hyperbolic operators with triple effective characteristics...

Tatsuo Nishitani, Vesselin Petkov. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 597--615.Abstract: We study the Cauchy problem for effectively hyperbolic operators $P$ with triple...

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A note on symmetric linear forms and traces on the restricted quantum group...

Matthieu Faitg. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 575--595.Abstract: In this paper we prove two results about ${\rm SLF}(\bar U_q)$, the algebra of symmetric linear forms on...

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More about Hamza's Theorem

Wenjie Sun, Jiangang Ying. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 563--573.Abstract: In this short article, we give a necessary and sufficient condition for the form (1.3), like the...

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The Tsukano conjectures on exponential sums

Brad Isaacson. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 543--561.Abstract: We prove three conjectures of Tsukano about exponential sums stated in his Master's thesis written at Osaka...

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Differential equations involving cubic theta functions and Eisenstein series

Kazuhide Matsuda. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 521--542.Abstract: In this paper, we derive systems of ordinary differential equations (ODEs) satisfied by modular forms of...

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The Cheng-Yau metrics on regular convex cones as harmonic immersions into the...

Shinya Akagawa. Source: Osaka Journal of Mathematics, Volume 57, Number 3, 507--519.Abstract: A Riemannian metric $g$ on a domain $\Omega$ in $ \mathbb{R}^n$ defines a map $F_g$ from $(\Omega,g)$ into...

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Local differential geometry of cuspidal edge and swallowtail

Toshizumi Fukui. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 961--992.Abstract: We investigate the local differential geometric invariants of cuspidal edge and swallowtail from the view...

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Relative class numbers inside the $p$th cyclotomic field

Humio Ichimura. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 949--959.Abstract: For a prime number $p \equiv 3 \;\mbox{mod $4$}$, we write $p=2n\ell^f+1$ for some power $\ell^f$ of an odd...

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Gorenstein $T$-spread Veronese algebras

Rodica Dinu. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 935--947.Abstract: Let $S=K[x_1, x_2, \dots, x_n]$ be the polynomial ring in $n$ variables over a field $K$. We fix integers $d$...

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Stochastic Hyperbolic Systems, Small Perturbations and Pathwise Approximation

Adnan Aboulalaa. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 889--934.Abstract: This paper is devoted to the study of hyperbolic systems of linear partial differential equations...

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Equigeodesics on generalized flag manifolds with ${\rm G}_2$-type...

Marina Statha. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 871--888.Abstract: We study homogeneous curves in generalized flag manifolds $G/K$ with ${\rm G}_2$-type $\mathfrak{t}$-roots,...

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Numerical invariants and moduli spaces for line arrangements

Alexandru Dimca, Denis Ibadula, Daniela Anca MĂCINIC. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 847--870.Abstract: Using several numerical invariants, we study a partition of the space...

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The Moduli Space of Points in the Boundary of Quaternionic Hyperbolic Space

Gaoshun Gou, Yueping Jiang. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 827--846.Abstract: Let $\mathcal{F}_1(n,m)$ be the ${\rm PSp}(n,1)$-configuration space of ordered $m$-tuple of...

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Boundary limits of monotone Sobolev functions for double phase functionals

Yoshihiro Mizuta, Tetsu Shimomura. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 819--826.Abstract: Our aim in this paper is to deal with boundary limits of monotone Sobolev functions for...

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Classification of homogeneous Willmore surfaces in $S^n$

Josef Dorfmeister, Peng Wang. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 805--817.Abstract: In this note we consider homogeneous Willmore surfaces in $S^{n+2}$. The main result is that...

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Twisted Alexander polynomial of a ribbon 2-knot of 1-fusion

Taizo Kanenobu, Toshio Sumi. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 789--803.Abstract: The twisted Alexander polynomial is defined as a rational function, not necessarily a...

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Sinks and sources for $C^1$ dynamics whose Lyapunov exponents have...

Vitor Araujo. Source: Osaka Journal of Mathematics, Volume 57, Number 4, 751--788.Abstract: Let $f:M\to M$ be a $C^1$ map of a compact manifold $M$, with dimension at least $2$, admitting some point...

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