A symmetry result on submanifolds of space forms and Applications

Details A symmetry result on submanifolds of space forms and Applications A symmetry result on submanifolds of space forms and Applications

2010-11-05

arxiv.org/abs/1011.1516v1

Mathematics

Differential Geometry

17 pages, 1 figure

Scientific paper

In this paper we prove a symmetry result on submanifolds of codimension one
in a n + 1-dimensional space form, related to the geodesic distance function
and to the normal curvature of some fixed vector field. As applications we will
prove sphere characterization type theorems for Kahler manifolds endowed with a
toric group action.

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