Decomposition of cut loci-Reference-Cited by-同舟云学术

Decomposition of cut loci

Published:1977 Issue:1 Volume:65 Page:133-136
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bishop Richard L.

Abstract

If p is a point in a complete riemannian manifold, the points of the cut locus of p are designated as singular or ordinary according to whether there is just one or more minimizing geodesics from p. It is proved that the ordinary cut-points are dense in the cut locus.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-065-01/S0002-9939-1977-0478066-X/S0002-9939-1977-0478066-X.pdf

Reference3 articles.

1. Pure and Applied Mathematics, Vol. XV;Bishop, Richard L.,1964

2. Deformations of geodesic fields;Gluck, Herman;Bull. Amer. Math. Soc.,1976

3. The conjugate locus of a Riemannian manifold;Warner, Frank W.;Amer. J. Math.,1965

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Semiclassical analysis of a nonlocal boundary value problem related to magnitude;Journal d'Analyse Mathématique;2023-12-12

2. Radialization and Fake Distances;Geometric Analysis of Quasilinear Inequalities on Complete Manifolds;2021

3. Bipolar comparison;Geometric and Functional Analysis;2019-02

4. Local estimate on convexity radius and decay of injectivity radius in a Riemannian manifold;Communications in Contemporary Mathematics;2018-08-27

5. Applications to Ricci Solitons;Springer Monographs in Mathematics;2016