Volume entropy based on integral Ricci curvature and volume ratio

DOI10.1016/J.DIFGEO.2007.11.009zbMath1140.53021OpenAlexW2028685061WikidataQ115357669 ScholiaQ115357669MaRDI QIDQ2482650

Seong-Hun Paeng

Publication date: 23 April 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2007.11.009

zbMATH Keywords

volume entropyintegral Ricci curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

Improved relative volume comparison for integral Ricci curvature and applications to volume entropy

Cites Work

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• Short geodesics and gravitational instantons
• Relative volume comparison with integral curvature bounds
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Integral Ricci curvatures volume comparison and fundamental groups of compact Riemannian manifolds
• On the fundamental groups of manifolds with integral curvature bounds
• On the Fundamental Groups of Manifolds with Almost-Nonnegative Ricci Curvature
• A note on the fundamental groups of manifolds with almost nonnegative curvature
• Analysis and geometry on manifolds with integral Ricci curvature bounds. II
• Minimal entropy and Mostow's rigidity theorems
• Volume entropy and integral Ricci curvatures over closed geodesics

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