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

Differential Geometry 2007-05-23 v1

Abstract

We obtain a local volume growth for complete, noncompact Riemannian manifolds with small integral bounds and with Bach tensor having finite L2L^2 norm in dimension 4.

Keywords

Cite

@article{arxiv.math/0609251,
  title  = {Local Volume Estimate for Manifolds with $L^2$-bounded Curvature},
  author = {Ye Li},
  journal= {arXiv preprint arXiv:math/0609251},
  year   = {2007}
}

Comments

20 pages