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 K\"{a}hler manifolds endowed with a toric group action.
Ali Maalaoui, Vittorio Martino (2013). A Symmetry Result on Submanifolds of Space Forms and Applications. MEDITERRANEAN JOURNAL OF MATHEMATICS, 10, 507-517 [10.1007/s00009-012-0240-2].
A Symmetry Result on Submanifolds of Space Forms and Applications
MARTINO, VITTORIO
2013
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 K\"{a}hler manifolds endowed with a toric group action.File in questo prodotto:
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