On the existence of convex functions on Finsler manifolds
classification
🧮 math.DG
keywords
convexfinslerfunctionsmanifoldswhoseadmitsapplybusemann
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.