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...
View ArticleGlobal 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...
View ArticleSemi-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...
View ArticleIterated 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...
View ArticleAn 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...
View ArticleIntersection 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...
View ArticleGeneralized 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,...
View ArticleOn 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...
View ArticleInitial 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...
View ArticleExamples 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...
View ArticleSome 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...
View ArticleOn 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...
View ArticleSemistable 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...
View ArticleSpheres 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...
View ArticleERRATA: ``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.
View ArticleOn 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...
View ArticleTropicalization 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....
View ArticleAn 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...
View ArticleError 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...
View ArticleSpectrum 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,...
View ArticleGraph 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...
View ArticleRemarks 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...
View ArticleKnots 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...
View Article2-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...
View ArticleSolvability 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...
View ArticleAn 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...
View ArticleOn 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...
View ArticleMutations 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...
View ArticleEvolution 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...
View ArticleGoeritz 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...
View ArticleExtrinsic 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...
View ArticleBowman-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...
View ArticleSmoothing 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...
View ArticleCauchy 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...
View ArticleA 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...
View ArticleMore 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...
View ArticleThe 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...
View ArticleDifferential 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...
View ArticleThe 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...
View ArticleLocal 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...
View ArticleRelative 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...
View ArticleGorenstein $T$-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 $d$...
View ArticleStochastic 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...
View ArticleEquigeodesics 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,...
View ArticleNumerical 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...
View ArticleThe 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...
View ArticleBoundary 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...
View ArticleClassification 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...
View ArticleTwisted 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...
View ArticleSinks 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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