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Geodesic Flows and Neumann Systems on Stiefel Varieties. Geometry and Integrability
Geodesic Flows Neumann Systems n Stiefel Varieties Geometry and Integrability
2010/11/10
We study integrable geodesic flows on Stiefel varieties $V_{n,r}=SO(n)/SO(n-r)$ given by the Euclidean, normal (standard), Manakov-type, and Einstein metrics. We also consider natural generalizations ...
Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
Noncommutative correspondence integrability solitons
2010/11/10
Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method rel...