scholarly journals Bakry–Émery Ricci Curvature Bounds for Doubly Warped Products of Weighted Spaces

2022 ◽  
Vol 32 (3) ◽  
Author(s):  
Zohreh Fathi ◽  
Sajjad Lakzian
Keyword(s):  
Ricci Curvature ◽  
Weighted Spaces ◽  
Warped Products ◽  
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

Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products

1996 ◽  
Vol 144 (1) ◽  
pp. 189 ◽  
Author(s):  
Jeff Cheeger ◽  
Tobias H. Colding
Keyword(s):  
Ricci Curvature ◽  
Lower Bounds ◽  
Warped Products ◽  
Almost Rigidity
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