On projective equivalence and pointwise projective relation of Randers metrics

Abstract

We correct a mistake in Shen Yibing, Yu Yaoyong, On Projectively Related Randers Metrics, International Journal of Mathematics 19}(2008), no. 5, 503--520, and prove the natural generalization of the projective Lichnerowicz-Obata conjecture for Randers metrics.

13 pages, no figures

References in corpus (3)

• On the energy functional on Finsler manifolds and applications to stationary spacetimes
• On the interplay between Lorentzian Causality and Finsler metrics of Randers type
• Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric

Cited by in corpus (3)

• Chains in CR geometry as geodesics of a Kropina metric
• Almost every path structure is not variational
• Conformally related Douglas metrics are Randers