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arXiv · 1011.1516

A symmetry result on submanifolds of space forms and Applications

Ali Maalaoui·Vittorio Martino
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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.

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Ali Maalaoui, Vittorio Martino. 2010-11-05. A symmetry result on submanifolds of space forms and Applications. https://arxiv.org/abs/1011.1516

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