Abstract. In this paper we show that two minimal hypersurfaces in a manifold with positive Ricci curvature must intersect. This is then generalized to show that in manifolds with positive Ricci cur-vature in the integral sense two minimal hypersurfaces must be close to each other. We also show what happens if a manifold with nonnegative Ricci curvature admits two nonintersecting minimal hypersurfaces.
We address the one-parameter minmax construction for the Allen–Cahn energy that has recently lead to...
The purpose of this note is to announce some new results (see [10]) concerning manifolds of positive...
In this short communication, we announce results from our research on the structure of complete nonc...
In the early 1980s, S. T. Yau conjectured that any compact Riemannian three-manifold admits an infin...
AbstractWe prove that a minimal immersion of a complete Riemannian manifold M into another complete ...
Abstract. Let (M, g0) be a closed Riemannian manifold of dimension n, for 3 ≤ n ≤ 7, and non-negativ...
We consider a complete open riemannian manifold M of nonnegative Ricci curvature and a rectifiable h...
In the early 1980s, S. T. Yau conjectured that any compact Riemannian three-manifold admits an infin...
In this work, we study interactions between the curvature of a Riemannian manifold and the geometry ...
In this work, we study interactions between the curvature of a Riemannian manifold and the geometry ...
Abstract. Let N be a complete Riemannian manifold with nonnegative Ricci curvature and let M be a co...
We establish a min-max estimate on the volume width of a closed Riemannian manifold with nonnegative...
We show that the minimal hypersurface method of Schoen and Yau can be used for the "quantitative" st...
We show that the minimal hypersurface method of Schoen and Yau can be used for the "quantitative" st...
summary:In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth ...
We address the one-parameter minmax construction for the Allen–Cahn energy that has recently lead to...
The purpose of this note is to announce some new results (see [10]) concerning manifolds of positive...
In this short communication, we announce results from our research on the structure of complete nonc...
In the early 1980s, S. T. Yau conjectured that any compact Riemannian three-manifold admits an infin...
AbstractWe prove that a minimal immersion of a complete Riemannian manifold M into another complete ...
Abstract. Let (M, g0) be a closed Riemannian manifold of dimension n, for 3 ≤ n ≤ 7, and non-negativ...
We consider a complete open riemannian manifold M of nonnegative Ricci curvature and a rectifiable h...
In the early 1980s, S. T. Yau conjectured that any compact Riemannian three-manifold admits an infin...
In this work, we study interactions between the curvature of a Riemannian manifold and the geometry ...
In this work, we study interactions between the curvature of a Riemannian manifold and the geometry ...
Abstract. Let N be a complete Riemannian manifold with nonnegative Ricci curvature and let M be a co...
We establish a min-max estimate on the volume width of a closed Riemannian manifold with nonnegative...
We show that the minimal hypersurface method of Schoen and Yau can be used for the "quantitative" st...
We show that the minimal hypersurface method of Schoen and Yau can be used for the "quantitative" st...
summary:In Riemannian geometry the prescribed Ricci curvature problem is as follows: given a smooth ...
We address the one-parameter minmax construction for the Allen–Cahn energy that has recently lead to...
The purpose of this note is to announce some new results (see [10]) concerning manifolds of positive...
In this short communication, we announce results from our research on the structure of complete nonc...
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