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Some remarks on embedded hypersurfaces in hyperbolic space of constant curvature and spherical boundary |
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| Authors: | Barbara Nelli Harold Rosenberg |
| Institution: | (1) Dipartimento di Matematica, via Buonarroti 2, 56127 Pisa, Italy;(2) Département de Mathématiques, Université de Paris VII, 2, Place Jussieu, 75251 Paris, France |
| Abstract: | We consider embedded hypersurfacesM in hyperbolic space with compact boundaryC and somer
th mean curvature functionH
r a positive constant. We investigate when symmetries ofC are symmetries ofM. We prove that if 0 H
r1 andC is a sphere thenM is a part of an equidistant sphere. Forr=1 (H
1 is the mean curvature) we obtain results whenC is convex. |
| Keywords: | Symmetries of hypersurfaces of constant curvature Alexandrov reflection flux formula |
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