CONTENIDO

Título

Informes de Matemática: Geodesic Flows on Diffeomorphisms of the Circle, Grassmannians, and the Geometry of the Periodic KdV Equation

Autor

Schonbeck, Maria E. ; Todorov, Andrey N. ; Zubelli, Jorge P.

Clasificación

516.9I/Sch29 (S.C)

Editorial

IMPA

Edición

Contenido

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.