Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606082 | Differential Geometry and its Applications | 2014 | 7 Pages |
Abstract
Let M be a compact Riemannian 2-manifold without boundary and oâM. We introduce an index for critical points of the distance function to o and establish the relation among the index, the properties of critical points and the Euler characteristic of M.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nobuhiro Innami, Katsuhiro Shiohama, Yuya Uneme,