Add to ORKGWe show some area estimates for stable CMC hypersurfaces immersed in Riemannian manifolds with scalar and sectional curvature bounded from below. In particular, we focus on immersions in three-dimensional Riemannian manifolds. As an application, we derive some upper estimates for the bottom spectrum of these hypersurfaces. This paper generalizes and builds on the techniques developed by Munteanu, Sung and Wang for stable minimal surfaces.Comment: Final version with minor corrections. To appear in Journal of Mathematical Analysis and Application
We develop a min-max theory for the construction of capillary surfaces in 3-manifolds with smooth bo...
Whether the only minimal stable complete hypersurfaces in Rn+1; 3 n 7; are hyperplanes, is an open...
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riem...
This note concerns the area growth and bottom spectrum of complete stable minimal surfaces in a thre...
22 pagesWe obtain an estimate for the norm of the second fundamental form of stable H-surfaces in Ri...
In this paper we establish conditions on the length of the traceless part of the second fundamental ...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
On closed hyperbolic manifolds of dimension $n\geq 3$, we review the definition of the average area ...
We give a notion of stability for constant r-mean curvature hypersurfaces in a general Riemannian ma...
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We prove some stability results for smooth non-characteristic H-minimal hypersurfaces immersed in a...
Abstract. We obtain an estimate for the norm of the second fundamental form of stable H-surfaces in ...
ABSTRACT. – In this paper, we give general curvature estimates for constant mean curvature surfaces ...
We develop a min-max theory for the construction of capillary surfaces in 3-manifolds with smooth bo...
Whether the only minimal stable complete hypersurfaces in Rn+1; 3 n 7; are hyperplanes, is an open...
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riem...
This note concerns the area growth and bottom spectrum of complete stable minimal surfaces in a thre...
22 pagesWe obtain an estimate for the norm of the second fundamental form of stable H-surfaces in Ri...
In this paper we establish conditions on the length of the traceless part of the second fundamental ...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
On closed hyperbolic manifolds of dimension $n\geq 3$, we review the definition of the average area ...
We give a notion of stability for constant r-mean curvature hypersurfaces in a general Riemannian ma...
In this thesis, we prove estimates for the volume and boundary area of stable hypersurfaces ∑n-1 wit...
We prove some stability results for smooth non-characteristic H-minimal hypersurfaces immersed in a...
Abstract. We obtain an estimate for the norm of the second fundamental form of stable H-surfaces in ...
ABSTRACT. – In this paper, we give general curvature estimates for constant mean curvature surfaces ...
We develop a min-max theory for the construction of capillary surfaces in 3-manifolds with smooth bo...
Whether the only minimal stable complete hypersurfaces in Rn+1; 3 n 7; are hyperplanes, is an open...
We prove qualitative estimates on the total curvature of closed minimal hypersurfaces in closed Riem...