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2007 INTEGRAL RICCI CURVATURES, VOLUME COMPARISON AND FUNDAMENTAL GROUPS OF COMPACT RIEMANNIAN MANIFOLDS
Seong-Hun Paeng
Taiwanese J. Math. 11(4): 1237-1250 (2007). DOI: 10.11650/twjm/1500404816

Abstract

We obtain a relative volume comparison estimate in the universal covering space under bounds on the integral Ricci curvature and the weak $C^1$-norm of metric. From this volume comparison, we obtain similar results on the fundamental group as in [1,7,8].

Citation

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Seong-Hun Paeng. "INTEGRAL RICCI CURVATURES, VOLUME COMPARISON AND FUNDAMENTAL GROUPS OF COMPACT RIEMANNIAN MANIFOLDS." Taiwanese J. Math. 11 (4) 1237 - 1250, 2007. https://doi.org/10.11650/twjm/1500404816

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1148.53024
MathSciNet: MR2348565
Digital Object Identifier: 10.11650/twjm/1500404816

Subjects:
Primary: 53C20
Secondary: 53C23

Keywords: integral Ricci curvature , volume comparison

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 4 • 2007
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