64 citations · 353 across the 28 of their papers we have counts for
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The Hilbert 3/2 Structure and Weil-Petersson Metric on the Space of the Diffeomorphisms of the Circle Modulo Conformal Maps
M. Schonbek, A. Todorov, J. Zubelli
We gave a new very simple proof that the completion of the space of the diffeomorphism of the circle modulo conformal maps with respect to the Weil-Petersson Metric is a complex an…
On the Bi-Hamiltonian Theory for the Harry Dym Equation
Marco Pedroni, Vincenzo Sciacca, Jorge P. Zubelli
We describe how the Harry Dym equation fits into the the bi-Hamiltonian formalism for the Korteweg-de Vries equation and other soliton equations. This is achieved by means of a cer…
Geodesic Flows on Diffeomorphisms of the Circle, Grassmannians, and the Geometry of the Periodic KdV Equation
M. E. Schonbek, A. N. Todorov, J. P. Zubelli
We start by constructing a Hilbert manifold T of orientation preserving diffeomorphisms of the circle (modulo the group of bi-holomorphic self-mappings of the disc). This space, wh…