Algebraic Hypersurfaces of Degree Three in the Unit Sphere

碩士 === 國立交通大學 === 應用數學系所 === 103 === In this thesis, we want to construct a certain class of algebraic minimal hypersurface M^{n} of degree three in the unit sphere S^{n+1}. The idea is to find a class of special solutions to the equation Σϕiϕijϕj-|∇ϕj|^{2}Δϕ = 0 mod ϕ, where ϕ:R^{n+2}→R is a homoge...

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Bibliographic Details
Main Authors: Yu, Kuan-Chun, 余冠群
Other Authors: Hsu, Yi-Jung
Format: Others
Language:en_US
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/77897587646660763035