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On different curvatures of spheres in Funk geometry

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Author(s): Eugeny A. Olin

Publication date Created: 03 October 2011

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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.

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Most cited references 3

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�ber Geometrien, bei denen die Geraden die K�rzesten sind

Paul Funk (1929)

0 comments Cited 14 times – based on 0 reviews      Review now

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Projectively flat Randers metrics with constant flag curvature

Zhongmin Shen (2003)

0 comments Cited 6 times – based on 0 reviews      Review now

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Convex sets in Hadamard manifolds

A.A. Borisenko (2002)

0 comments Cited 5 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 03 October 2011

Publication date Updated: 2011-10-10

Article

ArXiV ID: 1110.0412

SO-VID: 7e0a26d8-db23-4bfa-83f1-6dc7b1ab9874

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

ACM classes 53C60

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

Categories math.DG math.MG

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