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arXiv · 0905.1598

B\"acklund transformations for transparent connections

Gabriel P. Paternain
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Abstract

Let $M$ be a closed orientable surface of negative curvature. A connection is said to be transparent if its parallel transport along closed geodesics is the identity. We describe all transparent SU(2)-connections and we show that they can be built up from suitable B\"acklund transformations.

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Gabriel P. Paternain. 2009-05-11. B\"acklund transformations for transparent connections. https://arxiv.org/abs/0905.1598

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