There exist no locally symmetric Finsler spaces of positive or negative flag curvature

Abstract

We show that the results of Foulon (1997 an 2002) and Kim (2007) (independently, Deng and Hou (2007)) about the nonexistence of locally symmetric Finsler metrics of positive or negative flag curvature are in fact local.

References in corpus (1)

• The Binet-Legendre Metric in Finsler Geometry

Cited by in corpus (1)

• A note on non-negatively curved Berwald spaces