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The geometry of embedded pseudo-Riemannian surfaces in terms of Poisson brackets
pseudo-Riemannian manifolds embedded surfaces Poisson brackets
2011/8/25
Abstract: Arnlind, Hoppe and Huisken showed how to express the Gauss and mean curvature of a surface embedded in a Riemannian manifold in terms of Poisson brackets of the embedding coordinates. We gen...
One invariant measure and different Poisson brackets for two nonholonomic systems
Poisson nonholonomic Chaplygin Borisov-Mamaev-Fedorov system
2011/7/5
We discuss the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems, for
which symplectic forms are different deformations of the square root from the corresponding
invariant volume form. I...