Based on properties of n-subharmonic functions we show that a complete, noncompact, properly embedded hypersurface with nonnegative Ricci curvature in hyperbolic space has an asymptotic boundary at infinity of at most two points. Moreover, the presence of two points in the asymptotic boundary is a rigidity condition that forces the hypersurface to be an equidistant hypersurface about a geodesic line in hyperbolic space. This gives an affirmative answer to the question raised by Alexander and Currier (Proc Symp Pure Math 54(3):37–44, 1993)
In this paper we continue our study of complete hypersurfaces in hyperbolic space Hn+1 of constant c...
AbstractWe show that H-hypersurfaces of Hn×R contained in a vertical cylinder and with Ricci curvatu...
summary:In this paper, we deal with complete linear Weingarten hypersurfaces immersed in the hyperbo...
Based on properties of n-subharmonic functions we show that a complete, noncompact, properly embedde...
In this paper we prove a conjecture of Alexander and Currier that states, except for covering maps o...
8 pagesInternational audienceIn this paper, we study the topology of complete noncompact Riemannian ...
The Ph.D is composed of two parts.First part : theme of the conformal scalar curvature on the hyperb...
AbstractOn an asymptotically hyperbolic Einstein manifold (M,g0) for which the Yamabe invariant of t...
82 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.Sacksteder showed that immersi...
In this talk I will report our recent works on convex hypersurfaces in hyperbolic space. To study hy...
In this paper we prove a conjecture of Alexander and Currier that states, except for covering maps o...
In this work we establish a sharp geometric inequality for closed hypersurfaces in complete noncompa...
We continue the work done in [2],[3] which investigates the problem of finding Weingarten hypersurfa...
What restrictions are there on a spacetime for which the Ricci curvature is such as to produce conve...
We continue the work done in [2],[3] which investigates the problem of finding Weingarten hypersurfa...
In this paper we continue our study of complete hypersurfaces in hyperbolic space Hn+1 of constant c...
AbstractWe show that H-hypersurfaces of Hn×R contained in a vertical cylinder and with Ricci curvatu...
summary:In this paper, we deal with complete linear Weingarten hypersurfaces immersed in the hyperbo...
Based on properties of n-subharmonic functions we show that a complete, noncompact, properly embedde...
In this paper we prove a conjecture of Alexander and Currier that states, except for covering maps o...
8 pagesInternational audienceIn this paper, we study the topology of complete noncompact Riemannian ...
The Ph.D is composed of two parts.First part : theme of the conformal scalar curvature on the hyperb...
AbstractOn an asymptotically hyperbolic Einstein manifold (M,g0) for which the Yamabe invariant of t...
82 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.Sacksteder showed that immersi...
In this talk I will report our recent works on convex hypersurfaces in hyperbolic space. To study hy...
In this paper we prove a conjecture of Alexander and Currier that states, except for covering maps o...
In this work we establish a sharp geometric inequality for closed hypersurfaces in complete noncompa...
We continue the work done in [2],[3] which investigates the problem of finding Weingarten hypersurfa...
What restrictions are there on a spacetime for which the Ricci curvature is such as to produce conve...
We continue the work done in [2],[3] which investigates the problem of finding Weingarten hypersurfa...
In this paper we continue our study of complete hypersurfaces in hyperbolic space Hn+1 of constant c...
AbstractWe show that H-hypersurfaces of Hn×R contained in a vertical cylinder and with Ricci curvatu...
summary:In this paper, we deal with complete linear Weingarten hypersurfaces immersed in the hyperbo...
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