A fluid dynamic formulation of the isometric embedding problem in differential geometry

The isometric embedding problem is a fundamental problem in differential geometry. A longstanding problem is considered in this paper to characterize intrinsic metrics on a two-dimensional Riemannian manifold which can be realized as isometric immersions into the three-dimensional Euclidean space. A...

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Bibliographic Details
Main Authors: Chen, G, Slemrod, M, Wang, D
Format: Journal article
Language:English
Published: 2010