Non-existence of Funk functions for Finsler spaces of non-vanishing scalar flag curvature
classification
🧮 math.DG
keywords
spraycurvaturefinslerflagfunctionsfunknon-vanishingscalar
read the original abstract
In his book "Differential Geometry of Spray and Finsler spaces", page 177, Zhongmin Shen asks "wether or not there always exist non-trivial Funk functions on a spray space". In this note, we will prove that the answer is negative for the geodesic spray of a finslerian function of non-vanishing scalar flag curvature.
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.