Conjugate points in the Bott-Virasoro group

and the KdV equation

Author:
Gerard Misiolek

Journal:
Proc. Amer. Math. Soc. **125** (1997), 935-940

MSC (1991):
Primary 58D05; Secondary 35Q53

DOI:
https://doi.org/10.1090/S0002-9939-97-03711-8

MathSciNet review:
1363431

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We study the geometry of a right invariant metric on a central extension of the diffeomorphism group of a circle (the Bott-Virasoro group) introduced by Ovsienko and Khesin. We obtain an expression for the curvature tensor of this metric and apply it to find conjugate points in .

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Additional Information

**Gerard Misiolek**

Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556

Email:
misiolek.1@nd.edu

DOI:
https://doi.org/10.1090/S0002-9939-97-03711-8

Keywords:
Diffeomorphism groups,
KdV equation,
conjugate points

Received by editor(s):
October 11, 1995

Communicated by:
Hal L. Smith

Article copyright:
© Copyright 1997
American Mathematical Society