We show that a submanifold with curvature normal of constant length has constant principal curvatures under suitable global hypothesis. We construct local counterexamples to show that the global hypothesis can not be dropped
AbstractWe extend recent results of Guan and Spruck, proving existence results for constant Gaussian...
In this paper, we study the smooth isometric immersion of a complete simply connected surface with a...
We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed ...
We classify isometric immersions $f\colon M^{n}\to \mathbb{R}^{n+p}$, $n \geq 5$ and $2p \leq n$, wi...
In this talk we consider two classes of submanifolds in Euclidean spaces that are characterized by s...
The classical Cohn-Vossen inequality states that for any complete 2-dimensional Riemannian manifold ...
The object of this article is to characterize submanifolds of the Euclidean space whose shape opera...
Abstract. The classical Cohn-Vossen inequality states that for any complete 2-dimen-sional Riemannia...
Given a smooth distribution $\mathscr{D}$ of $m$-dimensional planes along a smooth regular curve $\g...
We give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing...
O objetivo desta dissertaÃÃo à apresentar uma demonstraÃÃo para uma desigualdade pontual, denominada...
For a submanifold with flat normal bundle in a space form there is a normal orthonormal basis that s...
eprint de ArXIV. Pendent de publicar a Journal of Geometric Analysis, 2012Given a complete isometric...
summary:We obtain a pointwise inequality valid for all submanifolds $M^n$ of all real space forms $N...
summary:We obtain a pointwise inequality valid for all submanifolds $M^n$ of all real space forms $N...
AbstractWe extend recent results of Guan and Spruck, proving existence results for constant Gaussian...
In this paper, we study the smooth isometric immersion of a complete simply connected surface with a...
We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed ...
We classify isometric immersions $f\colon M^{n}\to \mathbb{R}^{n+p}$, $n \geq 5$ and $2p \leq n$, wi...
In this talk we consider two classes of submanifolds in Euclidean spaces that are characterized by s...
The classical Cohn-Vossen inequality states that for any complete 2-dimensional Riemannian manifold ...
The object of this article is to characterize submanifolds of the Euclidean space whose shape opera...
Abstract. The classical Cohn-Vossen inequality states that for any complete 2-dimen-sional Riemannia...
Given a smooth distribution $\mathscr{D}$ of $m$-dimensional planes along a smooth regular curve $\g...
We give a metric characterization of the scalar curvature of a smooth Riemannian manifold, analyzing...
O objetivo desta dissertaÃÃo à apresentar uma demonstraÃÃo para uma desigualdade pontual, denominada...
For a submanifold with flat normal bundle in a space form there is a normal orthonormal basis that s...
eprint de ArXIV. Pendent de publicar a Journal of Geometric Analysis, 2012Given a complete isometric...
summary:We obtain a pointwise inequality valid for all submanifolds $M^n$ of all real space forms $N...
summary:We obtain a pointwise inequality valid for all submanifolds $M^n$ of all real space forms $N...
AbstractWe extend recent results of Guan and Spruck, proving existence results for constant Gaussian...
In this paper, we study the smooth isometric immersion of a complete simply connected surface with a...
We give sufficient and necessary geometric conditions, guaranteeing that an immersed compact closed ...
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