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Bishop and Laplacian comparison theorems on Sasakian manifolds

Differential Geometry 2013-10-23 v2

Abstract

We prove a Bishop volume comparison theorem and a Laplacian comparison theorem for a natural sub-Riemannian structure defined on Sasakian manifolds. This generalizes the earlier work for the three dimensional case.

Keywords

Cite

@article{arxiv.1310.5322,
  title  = {Bishop and Laplacian comparison theorems on Sasakian manifolds},
  author = {Paul W. Y. Lee and Chengbo Li},
  journal= {arXiv preprint arXiv:1310.5322},
  year   = {2013}
}

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38 pages