Grove-Shiohama type sphere theorem in Finsler geometry

Abstract

From radial curvature geometry's standpoint, we prove a sphere theorem of the Grove-Shiohama type for a certain class of compact Finsler manifolds.

arXiv commentThe version 3 was corrected as follows: L_m (c) < πreplaced with L_m (c) \leq rad_p in the (3) of Theorem 1.3. And some other minor changes have been done in the version 4. 16 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1210.1774

References in corpus (2)

• The cut locus and distance function from a closed subset of a Finsler manifold
• Topology of complete Finsler manifolds with radial flag curvature bounded below

Cited by in corpus (1)

• Topology of complete Finsler manifolds with radial flag curvature bounded below