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Integrable geodesic flows of nonholonomic metrics

โœ Scribed by I. A. Taimanov


Publisher
Springer
Year
1997
Tongue
English
Weight
854 KB
Volume
3
Category
Article
ISSN
0925-4668

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The polytropic gas equations are shown to be the geodesic flows with respect to an L 2 metric on the semidirect product space Diff(S 1 ) C โˆž (S 1 ), where Diff(S 1 ) is the group of orientation preserving diffeomorphisms of the circle. We also show that the N = 1 supersymmetric polytropic gas equati