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A Pinching Theorem for Riemannian Foliations with Parallel Mean Curvature in a Local-Symmetric Riemannian Manifold
Received:March 15, 2006
Revised:August 28, 2006
Key Words
:
Riemannian foliations
local-symmetric Riemannian manifold
mean curvature
divergence.
Fund Project
:
the Science Foundation for Young Teachers of North China Electric Power University (No.20071).
Author Name
Affiliation
PENG Hui Chun
Department of Mathematics and Physics
,
North China Electric Power University
,
Beijing 102206
,
China
LI Zhi Bo
Department of Mathematics
,
Zhengzhou University
,
Henan 450052
,
China
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:
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:
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Abstract
:
We discuss the Riemannian foliations with parallel mean curvature in a local-symmetric Riemannian manifold, and obtain a pinching theorem about it.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2008.02.019
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