Browsing by Author "Slemrod, M."
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Article
Isometric immersions via compensated compactness for slowly decaying negative Gauss curvature and rough data
Christoforou, Cleopatra; Slemrod, M. (2015)In this paper, the method of compensated compactness is applied to the problem of isometric immersion of a two-dimensional Riemannian manifold with negative Gauss curvature into three-dimensional Euclidean space. Previous ...
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Article
On the decay rate of the Gauss curvature for isometric immersions
Christoforou, Cleopatra; Slemrod, M. (2016)We address the problem of global embedding of a two dimensional Riemannian manifold with negative Gauss curvature into three dimensional Euclidean space. A theorem of Efimov states that if the curvature decays too slowly ...