On different curvatures of spheres in Funk geometry
Differential Geometry
2011-10-11 v2 Metric Geometry
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.
Keywords
Cite
@article{arxiv.1110.0412,
title = {On different curvatures of spheres in Funk geometry},
author = {Eugeny A. Olin},
journal= {arXiv preprint arXiv:1110.0412},
year = {2011}
}
Comments
15 pages, revised version - references have been corrected. arXiv admin note: substantial text overlap with arXiv:1105.1865