Geodesic Sandwich Theorem with an Application
Differential Geometry
2018-06-25 v2
Abstract
The main goal of the paper is to prove the sandwich theorem for geodesic convex functions in a complete Riemannian manifold. Then by using this theorem we have proved an inequality in a manifold with bounded sectional curvature. Finally, we have shown that the gradient of a convex function is orthogonal to the tangent vector at some point of any geodesic.
Keywords
Cite
@article{arxiv.1806.07219,
title = {Geodesic Sandwich Theorem with an Application},
author = {Absos Ali Shaikh and Ravi P. Agarwal and Chandan Kumar Mondal},
journal= {arXiv preprint arXiv:1806.07219},
year = {2018}
}
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8 pages