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Weierstrass representation formula H ~ 2 × R

Author: LiZhan
Tutor: YuZuHuan
School: Capital Normal University
Course: Basic mathematics
Keywords: Hyperbolic space mean curvature Weierstass representation
CLC: O186.1
Type: Master's thesis
Year: 2009
Downloads: 17
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Abstract


In this paper,we define the Gauss map of the surface in the space H~2×R and give a representation fornmla for the surface of prescribed mean curvature. Furthermore,we obtain a second order partial differential equation for the Guass map and show that this equation is the complete integrability condition of the above obtained representation.

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Differential geometry,integral geometry > Differential Geometry
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