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Submanifolds with Parallel Mean Curvature Vector in Locally Symmetric Space

Author: WenHuanMing
Tutor: ChenFuLiang
School: Jiangxi Normal University
Course: Basic mathematics
Keywords: Locally Symmetric Parallel mean curvature Ricci curvature Totally umbilical submanifold Pseudo- umbilical submanifolds
CLC: O186.12
Type: Master's thesis
Year: 2010
Downloads: 25
Quote: 0
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Abstract


This paper studies a locally symmetric space with parallel mean curvature vector np dimensional compact pseudo- umbilical submanifold get such submanifolds were long on the second fundamental form of the square σ and Ricci Curvature Pinching Theorem full text is divided into three parts, the first part introduces the basic concepts of the research questions , lemma , historical background and the main results of the second part of the study constant curvature space with parallel mean curvature vector np dimensional compact pseudo- umbilical submanifold get such submanifolds long on the second fundamental form of a square σ Pinching Theorem third part of the study locally symmetric space with parallel mean curvature vector np dimensional pseudo umbilical submanifold get such submanifold About the second fundamental form of long square σ and Ricci curvature two Pinching Theorem .

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Differential geometry,integral geometry > Differential Geometry > Riemannian geometry
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