A Universal Volume Comparison Theorem for Finsler Manifolds and Related Results
A Universal Volume Comparison Theorem for Finsler Manifolds and Related Results
Abstract In this paper, we establish a universal volume comparison theorem for Finsler manifolds and give the Berger–Kazdan inequality and Santalá's formula in Finsler geometry. Based on these, we derive a Berger–Kazdan type comparison theorem and a Croke type isoperimetric inequality for Finsler manifolds.