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Local volume estimate for manifolds withL 2-bounded curvature

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Abstract

We obtain a local volume growth for complete, noncompact Riemannian manifolds with small integral bounds and with Bach tensor having finite L2 norm in dimension 4.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, 08544, USA

    Ye Li

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  1. Ye Li
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Correspondence to Ye Li.

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Li, Y. Local volume estimate for manifolds withL 2-bounded curvature. J Geom Anal 17, 495–511 (2007). https://doi.org/10.1007/BF02922094

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  • DOI: https://doi.org/10.1007/BF02922094

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