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Surface in R^3 with Prescribed Gauss Curvature |
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| Authors: | Hong Jiaxing |
| Affiliation: | Institute of Mathematics, Fudan University, Shanghai, China. |
| Abstract: | Assume that a smooth function K(x, y) vanishes on a simple closed smooth curve Gamma and dK|_Gamma ne 0. Then the result of the present paper shows that there is a sufficiently smooth surface z=z(x, y) defined in a neighbourhood of Gamma with curvature K. |
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