We prove a weighted Sobolev inequality and a Hardy inequality on manifolds with nonnegative Ricci curvature satisfying an inverse doubling volume condition. It enables us to obtain rigidity results for Ricci flat manifolds, generalizing earlier work of Bando, Kasue and Nakajima
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
Abstract. The concept of best constants for Sobolev embeddings appeared to be crucial for solving li...
For metric measure spaces satisfying the reduced curvature–dimension condition CD*(K,N) we prove a s...
Let M be an n-dimensional complete Riemannian manifold, we investigate the geometric nature of such...
We prove a sharp Sobolev inequality on manifolds with nonnegative Ricci curvature. Moreover, we prov...
summary:We show that $n$-dimensional $(n\geqslant 2)$ complete and noncompact metric measure spaces ...
Let (M, g) be an n−dimensional complete open Riemannian manifold with nonnegative Ricci curvature v...
We consider complete non-compact manifolds with either a sub-quadratic growth of the norm of the Rie...
The purpose of this paper is to give a self-contained proof that a complete manifold with more than ...
[from the introduction]: The aim of this thesis is to study metric measure spaces with a synthetic n...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
Abstract. The concept of best constants for Sobolev embeddings appeared to be crucial for solving li...
For metric measure spaces satisfying the reduced curvature–dimension condition CD*(K,N) we prove a s...
Let M be an n-dimensional complete Riemannian manifold, we investigate the geometric nature of such...
We prove a sharp Sobolev inequality on manifolds with nonnegative Ricci curvature. Moreover, we prov...
summary:We show that $n$-dimensional $(n\geqslant 2)$ complete and noncompact metric measure spaces ...
Let (M, g) be an n−dimensional complete open Riemannian manifold with nonnegative Ricci curvature v...
We consider complete non-compact manifolds with either a sub-quadratic growth of the norm of the Rie...
The purpose of this paper is to give a self-contained proof that a complete manifold with more than ...
[from the introduction]: The aim of this thesis is to study metric measure spaces with a synthetic n...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
In this note we present a new proof of Sobolev's inequality under a uniform lower bound of the Ricci...
Abstract. The concept of best constants for Sobolev embeddings appeared to be crucial for solving li...
For metric measure spaces satisfying the reduced curvature–dimension condition CD*(K,N) we prove a s...