SeminarsImmersed equations of the Hyperbolic Surfaces
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Several papers about soliton surfaces with negative curvature discuss the equivalent quasi-linear hyperbolic systems of Gauss-Codazzi equations. This paper provides other transformations of the system and introduces Hong’s construction of solution. Then, we study the geometry of the immersion and notice a new necessary and sufficient condition for a surface to be a surface of revolution by applying the solution.
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Hsungrow Chan
2008-11-18
14:00:00 - 15:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
Several papers about soliton surfaces with negative curvature discuss the equivalent quasi-linear hyperbolic systems of Gauss-Codazzi equations. This paper provides other transformations of the system and introduces Hong’s construction of solution. Then, we study the geometry of the immersion and notice a new necessary and sufficient condition for a surface to be a surface of revolution by applying the solution.