Add to ORKGWe prove a sharp Sobolev inequality on manifolds with nonnegative Ricci curvature. Moreover, we prove a Michael-Simon inequality for submanifolds in manifolds with nonnegative sectional curvature. Both inequalities depend on the asymptotic volume ratio of the ambient manifold.Comment: final version, to appear in Comm Pure Appl Mat
We prove a sharp isoperimetric inequality for Finsler manifolds having non-negative Ricci curvature ...
Using Rauch’s comparison theorem, we prove several monotonicity inequalities for Riemannian submanif...
AbstractThis article is devoted to show that complete non-compact Riemannian manifolds with non-nega...
In this work we establish a sharp geometric inequality for closed hypersurfaces in complete noncompa...
Let M be an n-dimensional complete Riemannian manifold, we investigate the geometric nature of such...
Using the ABP-method as in a recent work by Brendle, we establish some sharp Sobolev and isoperimetr...
We prove a weighted Sobolev inequality and a Hardy inequality on manifolds with nonnegative Ricci cu...
Combining the sharp isoperimetric inequality established by Z. Balogh and A. Krist\'aly [Math. Ann.,...
For metric measure spaces satisfying the reduced curvature–dimension condition CD*(K,N) we prove a s...
summary:We show that $n$-dimensional $(n\geqslant 2)$ complete and noncompact metric measure spaces ...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
Let (M, g) be an n−dimensional complete open Riemannian manifold with nonnegative Ricci curvature v...
For $n$-dimensional weighted Riemannian manifolds, lower $m$-Bakry-\'{E}mery-Ricci curvature bounds ...
8 pagesInternational audienceIn this paper, we study the topology of complete noncompact Riemannian ...
Abstract. The concept of best constants for Sobolev embeddings appeared to be crucial for solving li...
We prove a sharp isoperimetric inequality for Finsler manifolds having non-negative Ricci curvature ...
Using Rauch’s comparison theorem, we prove several monotonicity inequalities for Riemannian submanif...
AbstractThis article is devoted to show that complete non-compact Riemannian manifolds with non-nega...
In this work we establish a sharp geometric inequality for closed hypersurfaces in complete noncompa...
Let M be an n-dimensional complete Riemannian manifold, we investigate the geometric nature of such...
Using the ABP-method as in a recent work by Brendle, we establish some sharp Sobolev and isoperimetr...
We prove a weighted Sobolev inequality and a Hardy inequality on manifolds with nonnegative Ricci cu...
Combining the sharp isoperimetric inequality established by Z. Balogh and A. Krist\'aly [Math. Ann.,...
For metric measure spaces satisfying the reduced curvature–dimension condition CD*(K,N) we prove a s...
summary:We show that $n$-dimensional $(n\geqslant 2)$ complete and noncompact metric measure spaces ...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
Let (M, g) be an n−dimensional complete open Riemannian manifold with nonnegative Ricci curvature v...
For $n$-dimensional weighted Riemannian manifolds, lower $m$-Bakry-\'{E}mery-Ricci curvature bounds ...
8 pagesInternational audienceIn this paper, we study the topology of complete noncompact Riemannian ...
Abstract. The concept of best constants for Sobolev embeddings appeared to be crucial for solving li...
We prove a sharp isoperimetric inequality for Finsler manifolds having non-negative Ricci curvature ...
Using Rauch’s comparison theorem, we prove several monotonicity inequalities for Riemannian submanif...
AbstractThis article is devoted to show that complete non-compact Riemannian manifolds with non-nega...