We consider embedded hypersurfaces M in hyperbolic space with compact boundary C and some r(th) mean curvature function H_r a positive constant. We investigate when symmetries of C are symmetries of M. We prove that if 0 less than or equal to H_r less than or equal to 1 and C is a sphere then M is a part of an equidistant sphere. For r = 1 (H_1 is the mean curvature) we obtain results when C is convex.
Titolo: | Some remarks on embedded hypersurfaces in hyperbolic space of constant curvature and spherical boundary |
Autori: | |
Data di pubblicazione: | 1995 |
Rivista: | |
Abstract: | We consider embedded hypersurfaces M in hyperbolic space with compact boundary C and some r(th) mean curvature function H_r a positive constant. We investigate when symmetries of C are symmetries of M. We prove that if 0 less than or equal to H_r less than or equal to 1 and C is a sphere then M is a part of an equidistant sphere. For r = 1 (H_1 is the mean curvature) we obtain results when C is convex. |
Handle: | http://hdl.handle.net/11697/12832 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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