Abstract
Isometric embedding of negatively curved surface Bing-Long Chen Sun Yat-sen University, Guangzhou 510275, China Email: mcscbl@mail.sysu.edu.cn Hilbert-Efimovtheorem states that any complete surface with curvature bounded above by a negative constant can not be isometrically imbedded in three dimensional Euclidean space R. We demonstrate that any simply-connected smooth complete surface with curvature bounded above by a negative constant admits a smooth isometric embedding into the Lorentz-Minkowski space R. A spectral theory of linear operators on Gelfand triplets
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