A Symmetry Result on Submanifolds of Space Forms and Applications |
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| Authors: | Ali Maalaoui Vittorio Martino |
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| Institution: | 1. Department of Mathematics, Rutgers University – Hill Center for the Mathematical Sciences, 110 Frelinghuysen Rd., Piscataway, 08854-8019, NJ, USA
2. SISSA, International School for Advanced Studies, via Bonomea 265, 34136, Trieste, Italy
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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 and to the normal curvature of some fixed vector field. As applications we will prove sphere characterization type theorems for Kähler manifolds endowed with a toric group action. |
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