Convergence and rigidity of manifolds under Ricci curvature bounds

1990 ◽  
Vol 102 (1) ◽  
pp. 429-445 ◽  
Author(s):  
Michael T. Anderson
Keyword(s):  
Ricci Curvature ◽  
Curvature Bounds

scholarly journals Smoothing Riemannian metrics with Ricci curvature bounds

1996 ◽  
Vol 90 (1) ◽  
pp. 49-61 ◽  
Author(s):  
Xianzhe Dai ◽  
Guofang Wei ◽  
Rugang Ye
Keyword(s):  
Ricci Curvature ◽  
Riemannian Metrics ◽  
Curvature Bounds

scholarly journals Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Najoua Gamara ◽  
Abdelhalim Hasnaoui ◽  
Akrem Makni
Keyword(s):  
Riemannian Manifold ◽  
Dirichlet Problem ◽  
Ricci Curvature ◽  
Riemannian Manifolds ◽  
Compact Riemannian Manifold ◽  
Torsional Rigidity ◽  
Hölder Inequality ◽  
Reverse Hölder Inequality ◽  
Curvature Bounds ◽  
Reverse Hölder

AbstractIn this article we prove a reverse Hölder inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds. We also prove an isoperimetric inequality for the torsional ridigity of such domains

scholarly journals Stratified spaces and synthetic Ricci curvature bounds

2021 ◽  
pp. 1-51
Author(s):  
Jérôme Bertrand ◽  
Christian Ketterer ◽  
Ilaria Mondello ◽  
Thomas Richard
Keyword(s):  
Ricci Curvature ◽  
Stratified Spaces ◽  
Curvature Bounds
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