INTEGRAL RICCI CURVATURES, VOLUME COMPARISON AND FUNDAMENTAL GROUPS OF COMPACT RIEMANNIAN MANIFOLDS

Seong-Hun Paeng

Type: Article

Publication Date: 2007-09-01

Citations: 2

DOI: https://doi.org/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].

Locations

Taiwanese Journal of Mathematics - View - PDF

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