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On the existence of convex functions on Finsler manifolds
Author(s)
Sabau, Sorin Vasile
Date Issued
January 1, 2019
Type
Article
Abstract
We show that a non-compact (forward) complete Finsler manifold whose Holmes-Thompson volume is finite admits no non-trivial convex functions. We apply this result to some Finsler manifolds whose Busemann function is convex.
Citation
Balkan Journal of Geometry and Its Applications, 24(1), 93-103, 2019