Transactions of the American Mathematical Society

Author(s): Yukihiro Mashiko
Journal: Trans. Amer. Math. Soc. 351 (1999), 3549-3567.
MSC (1991): Primary 53C20
Posted: February 5, 1999
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Abstract: We investigate the topological structure of Alexandrov surfaces of curvature bounded below which possess convex functions. We do not assume the continuities of these functions. Nevertheless, if the convex functions satisfy a condition of local nonconstancy, then the topological structures of Alexandrov surfaces and the level sets configurations of these functions in question are determined.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 53C20

Yukihiro Mashiko
Affiliation: Graduate School of Mathematics, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka, 812-81 Japan
Email: mashiko@math.kyushu-u.ac.jp

DOI: 10.1090/S0002-9947-99-02193-5
PII: S 0002-9947(99)02193-5
Keywords: Alexandrov spaces of curvature bounded below, convex functions
Received by editor(s): April 10, 1997
Posted: February 5, 1999
Copyright of article: Copyright 1999, American Mathematical Society

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