A symmetry result on submanifolds of space forms and Applications
Differential Geometry
2010-11-09 v1 Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1011.1516,
title = {A symmetry result on submanifolds of space forms and Applications},
author = {Ali Maalaoui and Vittorio Martino},
journal= {arXiv preprint arXiv:1011.1516},
year = {2010}
}
Comments
17 pages, 1 figure