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The two-dimensional periodic $b$-equation on the diffeomorphism group of the torus
2D-b-equation diffeomorphism group of the torus geodesic flow sectional curvature Euler equation
2011/9/15
Abstract: We study some geometric aspects of the periodic two-dimensional Camassa-Holm equation (2D-CH) which re-expresses geodesic motion on the diffeomorphism group of the torus $\T = S^1 \times S^1...