A note on $p^\lambda$-convex set in a complete Riemannian manifold
Differential Geometry
2019-07-08 v2
Abstract
In this paper we have generalized the notion of -radial contraction in complete Riemannian manifold and developed the concept of -convex function. We have also given a counter example proving the fact that in general -radial contraction of a geodesic is not necessarily a geodesic. We have also deduced some relations between geodesic convex sets and -convex sets and showed that under certain conditions they are equivalent.
Cite
@article{arxiv.1710.05361,
title = {A note on $p^\lambda$-convex set in a complete Riemannian manifold},
author = {Absos Ali Shaikh and Chandan Kumar Mondal and Akhlad Iqbal},
journal= {arXiv preprint arXiv:1710.05361},
year = {2019}
}
Comments
6 pages, 1 figure