Add to ORKGsummary:For closed immersed submanifolds of Euclidean spaces, we prove that $\int |\mu |^2\, dV\geq V/R^2$, where $\mu $ is the mean curvature field, $V$ the volume of the given submanifold and $R$ is the radius of the smallest sphere enclosing the submanifold. Moreover, we prove that the equality holds only for minimal submanifolds of this sphere
40 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.This paper investigates the fo...
8 pagesInternational audienceLet $M$ be a complete Riemannian $3$-manifold with sectional curvatures...
For a closed immersed minimal submanifold $M^n$ in the unit sphere $\mathbb{S}^{N}$ $(n<N)$, we prov...
summary:For closed immersed submanifolds of Euclidean spaces, we prove that $\int |\mu |^2\, dV\geq ...
There are three parts in this dissertation: First eigenvalue and volume estimate for a compact mini...
Let $M$ be a $n$-dimensional complete properly immersed minimal submanifold of a Euclidean space. We...
Given a closed in-dimensional manifold W immersed in R-n, we estimate its diameter d in terms of its...
We explore the relation among volume, curvature and properness of an m -dimensional isometric imm...
eprint de ArXIV. Pendent de publicar a Journal of Geometric Analysis, 2012Given a complete isometric...
Let be a domain on an -dimensional minimal submanifold in the outside of a convex set in or ...
In this note we prove the monotonicity formula for minimal submanifolds of Rn, and discuss some of i...
For a domain U on a certain k-dimensional minimal submanifold of S " or H", we introduce ...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed ...
40 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.This paper investigates the fo...
8 pagesInternational audienceLet $M$ be a complete Riemannian $3$-manifold with sectional curvatures...
For a closed immersed minimal submanifold $M^n$ in the unit sphere $\mathbb{S}^{N}$ $(n<N)$, we prov...
summary:For closed immersed submanifolds of Euclidean spaces, we prove that $\int |\mu |^2\, dV\geq ...
There are three parts in this dissertation: First eigenvalue and volume estimate for a compact mini...
Let $M$ be a $n$-dimensional complete properly immersed minimal submanifold of a Euclidean space. We...
Given a closed in-dimensional manifold W immersed in R-n, we estimate its diameter d in terms of its...
We explore the relation among volume, curvature and properness of an m -dimensional isometric imm...
eprint de ArXIV. Pendent de publicar a Journal of Geometric Analysis, 2012Given a complete isometric...
Let be a domain on an -dimensional minimal submanifold in the outside of a convex set in or ...
In this note we prove the monotonicity formula for minimal submanifolds of Rn, and discuss some of i...
For a domain U on a certain k-dimensional minimal submanifold of S " or H", we introduce ...
We prove a sharp area estimate for minimal submanifolds that pass through a prescribed point in a ge...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed ...
40 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.This paper investigates the fo...
8 pagesInternational audienceLet $M$ be a complete Riemannian $3$-manifold with sectional curvatures...
For a closed immersed minimal submanifold $M^n$ in the unit sphere $\mathbb{S}^{N}$ $(n<N)$, we prov...