Geodesics on extensions of the Lie algebra of vector fields on the circle
Volume 55 / 2002
Banach Center Publications 55 (2002), 165-172
MSC: 17B56, 35Q53.
DOI: 10.4064/bc55-0-8
Abstract
We consider Lie algebra 2-cocycles on the Lie algebra of vector fields on the circle with values in the space of tensor densities on the circle, whose integral over the circle is the Virasoro cocycle. Geodesic equations on the abelian extensions defined by these cocycles are determined.
