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7- Second Question Dimensional Spherical Voids

Posted on:2014-09-20Degree:MasterType:Thesis
Country:ChinaCandidate:Z H GuoFull Text:PDF
GTID:2260330392463050Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
This paper mainly discusses the second gap problem of compact minimal hypersurfaces in7-dimensional unit sphere which square of length of second fundamental form is constant.Thehypothesis that has three distinct principal curvatures and the main curvature of multiplicity is2,and then get the following results: if S>6, then S≥11. in a special case, expanding the gap ofChen’s conjecture.
Keywords/Search Tags:Square of the length of the second fundamental form, minimal hypersurface, principalcurvatures, covariant derivative
PDF Full Text Request
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