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arXiv · 1301.3752

Conformal deformations of immersed discs in $R^3$ and elliptic boundary value problems

Christoph Bohle·Ulrich Pinkall
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Abstract

Boundary value problems for operators of Dirac type arise naturally in connection with the conformal geometry of surfaces immersed in Euclidean 3--space. Recently such boundary value problems have been successfully applied to a variety of problems from computer graphics. Here we investigate under which conditions these boundary value problems are elliptic and self--adjoint. We show that under certain periodic deformations of the boundary data our operators exhibit non-trivial spectral flow.

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Christoph Bohle, Ulrich Pinkall. 2013-01-16. Conformal deformations of immersed discs in $R^3$ and elliptic boundary value problems. https://arxiv.org/abs/1301.3752

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