Bishop and Laplacian comparison theorems on Sasakian manifolds

Bishop and Laplacian comparison theorems on Sasakian manifolds
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DOI:
10.4310/cag.2018.v26.n4.a8
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发表时间:
2013-10
期刊:
arXiv: Differential Geometry
影响因子:
--
通讯作者:
Paul W. Y. Lee;Chengbo Li
Paul W. Y. Lee;Chengbo Li
中科院分区:
其他
文献类型:
--
作者:
Paul W. Y. Lee;Chengbo Li

文献摘要

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我们证明了一个Bishop体积比较定理和拉普拉斯比较定理的自然次黎曼结构定义在Sasakian流形。这推广了三维情况下的早期工作。
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.