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The semi-global isometric embedding of surfaces with Gaussian curvature changing sign cleanly

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Abstract

A new method to solve the Gauss-Codazzi system is given in which we transform the linearized system to a partial differential equation of second order, and by the method we solve the problem of semi-global isometric embedding of surfaces with Gaussian curvature changing sign cleanly.

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Authors and Affiliations

  1. School of Mathematical Science, University of Electronic Science and Technology of China, Chengdu, 611731, China

    ChunHe Li

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  1. ChunHe Li
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Correspondence to ChunHe Li.

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Li, C. The semi-global isometric embedding of surfaces with Gaussian curvature changing sign cleanly. Sci. China Math. 55, 2507–2515 (2012). https://doi.org/10.1007/s11425-012-4435-6

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  • DOI: https://doi.org/10.1007/s11425-012-4435-6

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