The Moutard transformation of two-dimensional Dirac operators and the Mobius geometry
Differential Geometry
2016-02-02 v1 Exactly Solvable and Integrable Systems
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 of a surface into the potential of its inversion.
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Cite
@article{arxiv.1408.4464,
title = {The Moutard transformation of two-dimensional Dirac operators and the Mobius geometry},
author = {Iskander A. Taimanov},
journal= {arXiv preprint arXiv:1408.4464},
year = {2016}
}
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17 pages