3:30 pm Thursday, October 26, 2017
Geometry Seminar: Ricci solitons from biconformal deformations by
Elsa Ghandour (University of Western Brittany) in RLM 9.166
In 2007, Baird-Danielo and independently John Lott discovered non-gradient Ricci Soliton structures on the 3-dimensional geometries Nil and Sol. A soliton is a fixed point of the Ricci flow. These were analyzed by Guenther-Isenberg-Knopf, who studied the linearization of Ricci flow about these fixed points, and Williams-Wu, who studied its dynamic stability. The examples of Baird-Danielo were constructed by exploiting semi-conformal mappings from these geometries to the plane. In essence, the existence of such a map allows for a representation of the Ricci tensor in terms of geometric quantities such as the mean curvature of the fibres of the map and the integrability of the horizontal distribution. It is my aim to take this work further by studying the behaviour of solitons under biconformal deformations of the metric. Submitted by
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