Bäcklund transformations for transparent connections

Details Bäcklund transformations for transparent connections Bäcklund transformations for transparent connections

2009-05-11

arxiv.org/abs/0905.1598v2

Mathematics

Differential Geometry

Minor sign correction, to appear in Crelle

Scientific paper

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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