Accessible Requires Authentication Published by De Gruyter March 23, 2011

Bäcklund transformations for transparent connections

Gabriel P. Paternain
From the journal


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 Bäcklund transformations.

Received: 2009-05-26
Revised: 2010-05-12
Published Online: 2011-03-23
Published in Print: 2011-September

© Walter de Gruyter Berlin · New York 2011