Geodesic flows on diffeomorphisms of the circle, grassmannians, and the geometry of the periodic KdV equation
Schonbeck, Maria E.
Geodesic flows on diffeomorphisms of the circle, grassmannians, and the geometry of the periodic KdV equation - Río de Janeiro : IMPA, 1997 - 47 páginas
1.Introduction. 2.Construction of a Holomorphic map from Diff+3/2 (S1)/PSU 1,1 to the Segal-Wilson grassmannian. 3.The projection pr- : W – H – is Hilbert-Schmidt. 4.The Hilbert manifolds structure of Diff+3/2 (S1)/PSU 1,1. 5.Conclusion of the proof of the Embedding of T into the Grassmannian. 6.The curvature computation. 7.Description of the geodesics. 8.Construction of solutions to KdV from the Beltrami equation. 9.Final remarks.
fcnm2480
516.9I/Sch29 (S.C)
Geodesic flows on diffeomorphisms of the circle, grassmannians, and the geometry of the periodic KdV equation - Río de Janeiro : IMPA, 1997 - 47 páginas
1.Introduction. 2.Construction of a Holomorphic map from Diff+3/2 (S1)/PSU 1,1 to the Segal-Wilson grassmannian. 3.The projection pr- : W – H – is Hilbert-Schmidt. 4.The Hilbert manifolds structure of Diff+3/2 (S1)/PSU 1,1. 5.Conclusion of the proof of the Embedding of T into the Grassmannian. 6.The curvature computation. 7.Description of the geodesics. 8.Construction of solutions to KdV from the Beltrami equation. 9.Final remarks.
fcnm2480
516.9I/Sch29 (S.C)