Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter March 23, 2011

Bäcklund transformations for transparent connections

  • Gabriel P. Paternain EMAIL logo
From the journal

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 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

Downloaded on 3.6.2023 from https://www.degruyter.com/document/doi/10.1515/crelle.2011.058/html
Scroll to top button