paper

On different curvatures of spheres in Funk geometry

arXiv:1110.0412

Abstract

We compute the series expansions for the normal curvatures of hyperspheres, the Finsler and Rund curvatures of circles in Funk geometry as the radii tend to infinity. These three curvatures are different at infinity in Funk geometry.

15 pages, revised version - references have been corrected. arXiv admin note: substantial text overlap with arXiv:1105.1865

References in corpus (1)