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Constant Mean Curvature Submanifolds Of Constant Curvature Riemannian Manifolds

Posted on:2014-07-01Degree:MasterType:Thesis
Country:ChinaCandidate:L Q RuanFull Text:PDF
GTID:2180330422988292Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, we prove the theorem, let M be an n-dimensional compact and without boundary manifold which is constant mean curvature immersed in an (n+p)-dimensional space of constant curvature a,then The square of the length of Riemann curvature tensor of M is defined by∑(Rijkl)2,The square of the length of Ricci curvature tensor of M is defined by∑(Rij)2,R is Scalar curvature of M...
Keywords/Search Tags:constant curvature, constant mean curvature, Riemann curvature ten-sor, Ricci curvature tensor, scalar curvature
PDF Full Text Request
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