Estimation Of The Length Of The Second Fundamental From For Complete Minimal Submanifold In Locally Symmetric Spaces

Posted on:2006-06-30

Degree:Master

Type:Thesis

Country:China

Candidate:X R Jiang

Full Text:PDF

GTID:2120360152992920

Subject:Basic mathematics

Abstract/Summary:

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We apply the Moser Iteration method to estimate the length of the second fundamental form for a complete minimal submanifold in a locally symmetric space. As an application we show that a complete minimal submanifold in a locally symmetric must be compact.

Keywords/Search Tags:

moser iteration, locally symmetric space, minimal submanifold, the length of the second fundamental form

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