On different curvatures of spheres in Funk geometry

Details On different curvatures of spheres in Funk geometry On different curvatures of spheres in Funk geometry

2011-10-03

arxiv.org/abs/1110.0412v2

Mathematics

Differential Geometry

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

Scientific paper

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.

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