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Noncommutative Integrability, Moment Map and Geodesic Flows

✍ Scribed by Alexey V. Bolsinov; Božidar Jovanović


Book ID
110430859
Publisher
Springer
Year
2003
Tongue
English
Weight
146 KB
Volume
23
Category
Article
ISSN
0232-704X

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Integrable geodesic flows and super poly
✍ Partha Guha 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 95 KB

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 ∞ (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