A note on $p^\lambda$-convex set in a complete Riemannian manifold

Absos Ali Shaikh; Chandan Kumar Mondal; Akhlad Iqbal

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arXiv · 1710.05361

A note on $p^\lambda$-convex set in a complete Riemannian manifold

Absos Ali Shaikh·Chandan Kumar Mondal·Akhlad Iqbal

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Abstract

In this paper we have generalized the notion of $\lambda$-radial contraction in complete Riemannian manifold and developed the concept of $p^\lambda$-convex function. We have also given a counter example proving the fact that in general $\lambda$-radial contraction of a geodesic is not necessarily a geodesic. We have also deduced some relations between geodesic convex sets and $p^\lambda$-convex sets and showed that under certain conditions they are equivalent.

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BibTeX RIS

Absos Ali Shaikh, Chandan Kumar Mondal, Akhlad Iqbal. 2017-10-15. A note on $p^\lambda$-convex set in a complete Riemannian manifold. https://arxiv.org/abs/1710.05361

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