Simplicial structure of the real analytic cut locus-Reference-Cited by-同舟云学术

Simplicial structure of the real analytic cut locus

Published:1977 Issue:1 Volume:64 Page:118-121
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Buchner Michael A.

Abstract

This note shows how to generalize to arbitrary dimensions the result of S.B. Myers that the cut locus in a real analytic Riemannian surface is triangulable. The basic tool is Hironaka’s theory of subanalytic sets.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-064-01/S0002-9939-1977-0474133-5/S0002-9939-1977-0474133-5.pdf

Reference6 articles.

1. Subanalytic sets;Hironaka, Heisuke,1973

2. Triangulations of algebraic sets;Hironaka, Heisuke,1975

3. Connections between differential geometry and topology. I. Simply connected surfaces;Myers, Sumner Byron;Duke Math. J.,1935

4. Connections between differential geometry and topology II. Closed surfaces;Myers, Sumner Byron;Duke Math. J.,1936

5. Annals of Mathematics Studies, No. 51;Milnor, J.,1963

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