Osaka Kyoiku University Researcher Information
日本語 | English
Curriculum Vitaes
Profile Information
- Affiliation
- Professor, Division of Math, Sciences, and Information Technology in Education, Osaka Kyoiku University
- Degree
- 修士(理学)(九州大学)Ph.D(Kyushu University)博士(数理学)(九州大学)
- Researcher number
- 00253584
- J-GLOBAL ID
- 200901044793801195
- researchmap Member ID
- 5000026050
- External link
Research Areas
1Research History
5-
Apr, 2014
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Apr, 2007 - Mar, 2014
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Mar, 2001 - Mar, 2007
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Apr, 1998 - Feb, 2001
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Oct, 1992 - Mar, 1998
Education
2-
Apr, 1991 - Sep, 1992
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Apr, 1983 - Mar, 1989
Papers
44-
Analysis,Applications, and Computations, Proceedings of the 13th ISAAC Congress, Ghent, Belgium 2021, 695-701, Oct, 2023 Peer-reviewed
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Proceedings of the Tenth International Conference on Information, 19-22, Mar, 2021 Peer-reviewed
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INFORMATION, 10(6(B)) 2071-2078, Jan, 2016 Peer-reviewed
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Proc. 7th International Conference on Information, 37-40, Nov, 2015 Peer-reviewed
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KYUSHU JOURNAL OF MATHEMATICS, 67(2) 339-354, Sep, 2013 Peer-reviewedIn the second author's previous work, we considered an approximation of a catenoid constructed from even truncated cones that maintains minimality in a certain sense. In this paper, we consider such an approximation consisting of odd truncated cones that maintains minimality in the same sense. Through this procedure, we obtain a discrete curve approximating a catenary by exploiting the fact that it is the function that generates a catenoid. In this investigation, the theory of the Gauss hypergeometric functions plays an important role.
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Proc. 6th International Conference on Information, 34-37, 2013 Peer-reviewed
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JMI : journal of math-for-industry, 2012A-4 25-33, 2012 Peer-reviewed
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Information Recovery and Discovery, 69, 2012 Peer-reviewed
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Memoirs of Osaka Kyoiku University, 60(2) 13-19, 2012
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INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL, 13(3B) 835-841, May, 2010 Peer-reviewedLet M be a complete open Riemannian manifold. A pair (M, o) of M and a point o is an element of E M is said to be dominated by a non-negative continuous function h : [0, infinity) -> [0, infinity) if it satisfies the following. That is, the minimal radial curvature at p is an element of M from o is not less than -h (d (o, p)), where d is the distance function of M. In the case where integral(infinity)(0) r . h(r)dr < infinity, we say that (M, o) or M is of roughly non-negative radial curvature. hi this article, we study a generalized Toponogov's theorem and topology of manifolds of roughly non-negative radial curvature.
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Proc. 5th International Conference on Information, 188-191, 2009 Peer-reviewed
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Contemporary Math., 332 121-130, 2003 Peer-reviewed
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MATHEMATISCHE ZEITSCHRIFT, 238(2) 269-316, Oct, 2001 Peer-reviewedWe prove the compactness of the imbedding of the Sobolev space W-0(1,2) (Ohm )into L-2 (Ohm) for any relatively compact open subset Ohm of an Alexandrov space. As a corollary, the generator induced from the Dirichlet (energy) form has discrete spectrum. The generator can be approximated by the Laplacian induced from the DC-structure on the Alexandrov space. We also prove the existence of the locally Holder continuous heat kernel.
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Tohoku Math. Publications, 20 61-68, 2001 Peer-reviewed
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Mathematische Annalen, 319(4) 675-706, 2001 Peer-reviewedWe study the space of directions on a length space and examine examples having particular spaces of directions. Then we generalize the notion of total excess on length spaces satisfying some suitable conditions, which we call good surfaces. For good surfaces we generalize the Euler characteristic, and prove the generalized Gauss-Bonnet Theorem and other relations between the total excess and the Euler characteristic. Furthermore, we see that the Gaussian curvature can be defined almost everywhere on a good surface with non-positive total excess. © Springer-Verlag 2001.
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JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 50(4) 859-878, Oct, 1998 Peer-reviewedWe generalize the Gauss-Bonnet theorem for Alexandrov surfaces and show that we can define the Gaussian curvature almost everywhere on an Alexandrov surface.
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Japanese Journal of Mathematics, 24(1) 183-190, 1998 Peer-reviewed
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Japan. J. Math., 19(2) 419-430, 1994 Peer-reviewed
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Pacific Journal of Mathematics, 165(1) 153-160, 1994 Peer-reviewedWe generalize the Toponogov hinge theorem and the Alexandrov convexity to the context of radial curvature, and study complete open Riemannian manifolds of non-negative radial curvature. © 1994 by Pacific Journal of Mathematics.
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Proceedings of the American Mathematical Society, 118(3) 979-985, 1993 Peer-reviewedWe generalize Toponogov’s theorem to the context of radial curvature and obtain corresponding generalizations of classical sphere theorems. © 1993 American Mathematical Society.
Research Projects
16-
Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2007 - 2009
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2004 - 2006
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2003 - 2004
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2002 - 2003
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Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2001 - 2003