Curvatures of spheres in Hilbert geometry

Details Curvatures of spheres in Hilbert geometry Curvatures of spheres in Hilbert geometry

2011-05-10

arxiv.org/abs/1105.1865v3

Mathematics

Differential Geometry

Scientific paper

We prove that the normal curvatures of hyperspheres, the Rund curvature, and
the Finsler curvature of circles in Hilbert geometry tend to 1 as the radii
tend to infinity

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