Add to ORKGAbstract. We show that a compact embedded hypersurface with constant ratio of mean curvature functions in a convex cone C ⊂ Rn+1 is part of a hypersphere if it has a point where all the principal curvatures are positive and if it is perpendicular to ∂C. 1
In a recent paper Korevaar 1-5] used the Alexandrov reflection principle to show that closed embedde...
International audienceWe show that almost stable constant mean curvature hypersur-faces contained in...
The authors apply the generalized Minkowski formula to set up a spherical theorem. It is shown that ...
It is still an open question whether a compact embedded hypersurface in the Euclidean space with con...
Spheres and the Delaunay surfaces have long been known as surfaces of constant mean curvature(CMC) i...
A fundamental question about hypersurfaces in the Euclidean space is to decide if the sphere is the ...
We consider a partially overdetermined problem in a sector-like domain Ω in a cone Σ in RN, N ≥ 2, a...
We prove that if Σ is a compact hypersurface in Euclidean space Rn, its boundary lies on the boundar...
A circle C in 3 is the boundary of two spherical caps of constant mean curvature H for any positive ...
Abstract. We characterize C1 embedded hypersurfaces of Rn as the only lo-cally closed sets with cont...
This paper investigates compact, embedded, strictly convex hypersurfaces in the unit sphere and give...
Abstract. In this note we characterize compact hypersurfaces of dimension n ≥ 2 with constant mean c...
Abstract It is proved that given H ≥ 0 and an embedded compact orientable constant mean curvature H ...
We prove that every complete connected immersed surface with positive extrinsic cur-vature K in H2 ×...
In this work we present three characterizations of the sphere. Initially, it will be shown that give...
In a recent paper Korevaar 1-5] used the Alexandrov reflection principle to show that closed embedde...
International audienceWe show that almost stable constant mean curvature hypersur-faces contained in...
The authors apply the generalized Minkowski formula to set up a spherical theorem. It is shown that ...
It is still an open question whether a compact embedded hypersurface in the Euclidean space with con...
Spheres and the Delaunay surfaces have long been known as surfaces of constant mean curvature(CMC) i...
A fundamental question about hypersurfaces in the Euclidean space is to decide if the sphere is the ...
We consider a partially overdetermined problem in a sector-like domain Ω in a cone Σ in RN, N ≥ 2, a...
We prove that if Σ is a compact hypersurface in Euclidean space Rn, its boundary lies on the boundar...
A circle C in 3 is the boundary of two spherical caps of constant mean curvature H for any positive ...
Abstract. We characterize C1 embedded hypersurfaces of Rn as the only lo-cally closed sets with cont...
This paper investigates compact, embedded, strictly convex hypersurfaces in the unit sphere and give...
Abstract. In this note we characterize compact hypersurfaces of dimension n ≥ 2 with constant mean c...
Abstract It is proved that given H ≥ 0 and an embedded compact orientable constant mean curvature H ...
We prove that every complete connected immersed surface with positive extrinsic cur-vature K in H2 ×...
In this work we present three characterizations of the sphere. Initially, it will be shown that give...
In a recent paper Korevaar 1-5] used the Alexandrov reflection principle to show that closed embedde...
International audienceWe show that almost stable constant mean curvature hypersur-faces contained in...
The authors apply the generalized Minkowski formula to set up a spherical theorem. It is shown that ...