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Geometry Of Non-complex Surface With Constant K(?)hler Angle On S~6

Posted on:2005-04-18Degree:MasterType:Thesis
Country:ChinaCandidate:X Z WangFull Text:PDF
GTID:2120360122497696Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
This paper is organized as follows:In 1 , 2 , some basic knowledge for this paper is introduced, mainly include the background and the knowledge needed for this paper.In 3,an almost complex structure and the K(?)hler angle on S6 ,which is the 6-dimensional unit sphere centered at the origin in ImO, is defined .In 4,the non-complex surfaces M of S6 with constant Kahler angle is sdudied by using the theorem introduced in ?. An orthonormal frame On M is found, and then the structure equations of M are obtained by the motion of this frame , some useful result is obtained by these equations for studying some special surfaces.In 5, a dual surface : M→ S6 of the totally real minmal surface x : M → S6 is defined.The dual surface of the totally real minmal surface x : M → S5 S6 with d(x * ) = 0 is studied.
Keywords/Search Tags:octonion, G2 group, non-complex, K(?)hler angle, structure equation, invariant, dual surfaces
PDF Full Text Request
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