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arXiv · 1003.2240

On the Local Solvability of Darboux's Equation

Marcus A. Khuri
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Abstract

We reduce the question of local nonsolvability of the Darboux equation, and hence of the isometric embedding problem for surfaces, to the local nonsolvability of a simple linear equation whose type is explicitly determined by the Gaussian curvature.

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Marcus A. Khuri. 2010-03-11. On the Local Solvability of Darboux's Equation. https://arxiv.org/abs/1003.2240

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