On the existence of convex functions on Finsler manifolds

Sorin V. Sabau; Pattrawut Chansangiam

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arXiv · 1811.02121

On the existence of convex functions on Finsler manifolds

Sorin V. Sabau·Pattrawut Chansangiam

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Abstract

We show that a non-compact (forward) complete Finsler manifold whose Holmes- Thompson volume is infinite admits no non-trivial convex functions. We apply this result to some Finsler manifolds whose Busemann function is convex.

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BibTeX RIS

Sorin V. Sabau, Pattrawut Chansangiam. 2018-11-06. On the existence of convex functions on Finsler manifolds. https://arxiv.org/abs/1811.02121

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