Browsing by Subject "First and second fundamental forms"
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Article
BV weak solutions to Gauss-Codazzi system for isometric immersions
(2012)The isometric immersion problem for surfaces embedded into R3 is studied via the fluid dynamic framework introduced in Chen et al. (2010) [6] as a system of balance laws of mixed-type. The techniques developed in the theory ...
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Article
Isometric immersions via compensated compactness for slowly decaying negative Gauss curvature and rough data
(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 ...