Generalized von Mangoldt surfaces of revolution and asymmetric two-spheres of revolution with simple cut locus structure
Author:
Affiliation:
1. School of Science, Department of Mathematics, Tokai University
2. Faculty of Economics, Hosei University
Publisher
Mathematical Society of Japan (Project Euclid)
Subject
General Mathematics
Reference24 articles.
1. [1] I. Belegradek, E. Choi and N. Innami, Rays and souls in von Mangoldt planes, Pacific J. Math., 259 (2012), 279–306.
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 C Anal. Non Linéaire, 26 (2009), 1081–1098.
3. [3] N. Boonnam, A generalized maximal diameter sphere theorem, Tohoku Math. J. (2), 71 (2019), 145–155.
4. [4] D. Elerath, An improved Toponogov comparison theorem for nonnegatively curved manifolds, J. Differential Geom., 15 (1980), 187–216.
5. [5] H. Gluck and D. A. Singer, Scattering of geodesic fields. II, Ann. of Math. (2), 110 (1979), 205–225.
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