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B\"acklund transformations for transparent connections (2009)

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.. Comment: 10 pages

Publication details
Download http://arxiv.org/abs/0905.1598
Repository arXiv (United States)
Keywords Mathematics - Differential Geometry, Mathematics - Dynamical Systems
Type text