Local Volume Estimate for Manifolds with $L^2$-bounded Curvature

Ye Li

arxiv: math/0609251 · v1 · submitted 2006-09-09 · 🧮 math.DG

Local Volume Estimate for Manifolds with L²-bounded Curvature

Ye Li This is my paper

classification 🧮 math.DG

keywords localmanifoldsvolumebachboundedboundscompletecurvature

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We obtain a local volume growth for complete, noncompact Riemannian manifolds with small integral bounds and with Bach tensor having finite $L^2$ norm in dimension 4.

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Local Volume Estimate for Manifolds with L²-bounded Curvature

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