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Elliptic Regularization of the Isometric Immersion Problem

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Abstract

We introduce an elliptic regularization of the PDE system representing the isometric immersion of a surface in \(\mathbb {R}^{3}\). The regularization is geometric and has a natural variational interpretation.

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Acknowledgements

Partially supported by NSF Grant DMS 1607479.

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  1. Department of Mathematics, Stony Brook University, Stony Brook, NY, 11794-3651, USA

    Michael T. Anderson

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  1. Michael T. Anderson
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Correspondence to Michael T. Anderson.

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Anderson, M.T. Elliptic Regularization of the Isometric Immersion Problem. J Geom Anal 28, 2768–2779 (2018). https://doi.org/10.1007/s12220-017-9933-x

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  • DOI: https://doi.org/10.1007/s12220-017-9933-x

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