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The Geometry Of Minimal Two - Dimensional Spherical Harmonic Sequences In

Posted on:2017-03-31Degree:MasterType:Thesis
Country:ChinaCandidate:Y J ChengFull Text:PDF
GTID:2270330488997626Subject:Basic mathematics
Abstract/Summary:
In this thesis, we study the geometry about harmonic sequence that minimal immersion of S2 in Q2m.From a linerly full totally real conformal minimal immersion with constant curvature of S2 in Qn, then n= 2m, up to a rigidity, there exist two cases. Under once fundamental collineation on these cases, we can reduce to two cases(Theorem3.2.1 and Theorem3.3.1). In this two cases we have calculated Gauss curvature, Kahler angle, and The length square of the second fundamental about these two cases are through a series fundamental collineations, then we obtain two theorems(Theorem3.2.2 and Theorem3.3.2). In the following, we give some examples to support it(In section 3.4 example 1 and example 2).
Keywords/Search Tags:Hyperquadric, Minimal two-sphere, Gauss curvature, K(a|")hler angle, The length square of the second fundamental
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