Curvature Estimation and Stability of Submanifolds with Parallel Mean Curvature Vactor
Received:February 15, 2004  
Key Words: parallel mean curvature   curvature estimation   stability.  
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Author NameAffiliation
SUN Hong-an Dept. of Math., Gannan Teachers' College, Ganzhou 341000, China 
ZHONG Ding-xing Dept. of Math., Gannan Teachers' College, Ganzhou 341000, China 
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Abstract:
      In this paper, we estimate the scalar curvature of a conformal metric on a submanifold with parallel mean curvature vactor in the space form. By use of the estimation, we study the stability of the domains of hypersurfaces with constant mean curvature in the space form.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.02.015
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