scholarly journals RELATIVE VOLUME COMPARISON WITH INTEGRAL RADIAL CURVATURE BOUNDS

2004 ◽  
Vol 41 (2) ◽  
pp. 213-220
Author(s):  
Jong-Gug Yun
Keyword(s):  
Relative Volume ◽  
Volume Comparison ◽  
Curvature Bounds ◽  
Radial Curvature

Relative Volume Comparison with Integral Curvature Bounds

1997 ◽  
Vol 7 (6) ◽  
pp. 1031-1045 ◽  
Author(s):  
P. Petersen ◽  
G. Wei
Keyword(s):  
Relative Volume ◽  
Integral Curvature ◽  
Volume Comparison ◽  
Curvature Bounds

Relative volume comparison of Ricci flow

2021 ◽  
Author(s):  
Gang Tian ◽  
Zhenlei Zhang
Keyword(s):  
Ricci Flow ◽  
Relative Volume ◽  
Volume Comparison

Ricci curvature decay and upper bound of total mass

2019 ◽  
Vol 16 (12) ◽  
pp. 1950189
Author(s):  
Seong-Hun Paeng
Keyword(s):  
Ricci Curvature ◽  
Upper Bound ◽  
Total Mass ◽  
Relative Volume ◽  
Volume Comparison ◽  
Integral Norm ◽  
Weighted Integral ◽  
Curvature Decay

We obtain a positive upper bound of total mass from a relative volume comparison by a weighted integral norm of Ricci curvature.

ON INTEGRAL RICCI CURVATURE AND TOPOLOGY OF FINSLER MANIFOLDS

2012 ◽  
Vol 23 (11) ◽  
pp. 1250111 ◽  
Author(s):  
B. Y. WU
Keyword(s):  
Ricci Curvature ◽  
Comparison Theorem ◽  
Relative Volume ◽  
Volume Form ◽  
Finsler Manifolds ◽  
Volume Comparison ◽  
Minimal Volume ◽  
Curvature Bound ◽  
And Topology

We establish a relative volume comparison theorem for minimal volume form of Finsler manifolds under integral Ricci curvature bound. As its applications, we obtain some results on integral Ricci curvature and topology of Finsler manifolds. These results generalize the corresponding properties with pointwise Ricci curvature bound in the literatures.

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