A New Family of Latitudinally Corrugated Two-spheres of Revolution with Simple Cut Locus Structure-Reference-Cited by-同舟云学术

A New Family of Latitudinally Corrugated Two-spheres of Revolution with Simple Cut Locus Structure

Published:2022-01-01 Issue:-1 Volume:-1 Page:
ISSN:0387-3870
Container-title:Tokyo Journal of Mathematics
language:
Short-container-title:Tokyo J. Math.

Author:

Tanaka Minoru¹,Akamatsu Toyohiro¹,Sinclair Robert²,Yamaguchi Masaru³

Affiliation:

1. School of Science, Department of Mathematics, Tokai University, Hiratsuka, Kanagawa 259–1292, Japan.

2. Faculty of Economics, Hosei University, 4342 Aihara-machi, Machida, Tokyo 194–0298, Japan, and Molecular and Integrative Biosciences Research Programme, Faculty of Biological and Environmental Sciences, University of Helsinki, Finland.

3. School of Science, Department of Mathematics, Tokai University, Hiratsuka, Kanagawa 259–1292, Japan. ym24896@tsc.u-tokai.ac.jp

Publisher

Tokyo Journal of Mathematics

Subject

General Mathematics

Reference15 articles.

1. [1] N. Boonnam, A generalized maximal diameter sphere theorem, Tohoku Math. J. (2) 71 (2019), 145–155.

2. [2] B. Bonnard, J-B. Caillau, R. Sinclair and M. Tanaka, Conjugate and cut loci of a two-sphere of revolution with application to optimal control, Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), 1081–1098.

3. [3] D. Elerath, An improved Toponogov comparison theorem for non-negatively curved manifolds, J. Differential Geom. 15 (1980), 187–216.

4. [4] H. Gluck and D. A. Singer, Scattering of geodesic fields. II., Ann. of Math. (2) 110 (1979), 205–225.

5. [5] J. Gravesen, S. Markvorsen, R. Sinclair and M. Tanaka, The cut locus of a torus of revolution, Asian J. Math. 9 (2005), 103–120.

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