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arXiv · 1408.4464

The Moutard transformation of two-dimensional Dirac operators and the Mobius geometry

Iskander A. Taimanov
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Abstract

We describe the action of the (Mobius) inversion on the data of the Weierstrass representation of surfaces in the three-space and show that the Moutard transformation of two-dimensional Dirac operators has a geometrical meaning: it maps the potential $U$ of a surface $S$ into the potential of its inversion.

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Iskander A. Taimanov. 2014-08-19. The Moutard transformation of two-dimensional Dirac operators and the Mobius geometry. https://arxiv.org/abs/1408.4464

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