Immersed surfaces of prescribed Gauss curvature into Minkowski space
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Abstract:
Given a positive real valued function $k(x)$ on the disc, we will immerse the disc into three dimensional Minkowski space in such a way that Gauss curvature at the image point of $x$ is $-k(x)$. Our approach lies on the construction of Gauss map of surfaces.References
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Additional Information
- Yuxin Ge
- Affiliation: Département de Mathématiques, Faculté de Sciences et Technologie, Université Paris XII-Val de Marne, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France; C.M.L.A., E.N.S de Cachan, 61, avenue du Président Wilson, 94235 Cachan Cedex, France
- Email: ge@cmla.ens-cachan.fr
- Received by editor(s): April 29, 1999
- Received by editor(s) in revised form: October 20, 1999
- Published electronically: December 7, 2000
- Communicated by: Bennett Chow
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2093-2101
- MSC (2000): Primary 53C42, 53B25
- DOI: https://doi.org/10.1090/S0002-9939-00-05770-1
- MathSciNet review: 1825922