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Rigidity Of 3-dimensional Minimal CR-Submanifolds With Constant Curvature In CP~n

Posted on:2010-09-10Degree:MasterType:Thesis
Country:ChinaCandidate:J W PengFull Text:PDF
GTID:2120360278970901Subject:Basic mathematics
Abstract/Summary:
It's proved that if M is a minimal CR-submanifold of dimension 3 in the complex projective space CP~n and the induced metric of M has constant sectional curvature c,then c=1/(m~2-1), for an integer m≥2, and M is rigid, without thecondition of compactness and c>0,we generalize the rigidity theorem in [9],and we know more about M ,that is, M is an open piece of the imageψ(S~3) of the standard immersionψdefined in example 1.2,at most up to a holomorphic isometryof CP~n.
Keywords/Search Tags:complex projective space, minimal CR-submanifold, rigidity theorem
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