Fe b 20 09 Space of Ricci flows ( I )
نویسندگان
چکیده
In this paper, we study the moduli spaces of noncollapsed Ricci flow solutions with bounded energy and scalar curvature. We show a weak compactness theorem for such moduli spaces and apply it to study isoperimetric constant control, Kähler Ricci flow and moduli space of gradient shrinking solitons.
منابع مشابه
Fe b 20 07 Nonholonomic Ricci Flows and Running Cosmological Constant : I . 4 D Taub – NUT Metrics
In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions. Some conceptual issues on spacetimes provided with generic off–diagonal metrics and associated nonlinear connection structures are analyzed. The limit from gravity/...
متن کاملar X iv : 0 90 6 . 33 09 v 1 [ m at h . A P ] 1 8 Ju n 20 09 ricci flow of negatively curved incomplete surfaces
We show uniqueness of Ricci flows starting at a surface of uniformly negative curvature, with the assumption that the flows become complete instantaneously. Together with the more general existence result proved in [10], this settles the issue of well-posedness in this class.
متن کاملar X iv : 0 90 2 . 28 05 v 1 [ m at h . D G ] 1 7 Fe b 20 09 Computing the density of Ricci - solitons on CP 2 ♯ 2 CP 2
This is a short note explaining how one can compute the Gaussian density of the Kähler-Ricci soliton and the conformally Kähler, Einstein metric on the two point blow-up of the complex projective plane.
متن کاملOn quasi-Einstein Finsler spaces
The notion of quasi-Einstein metric in physics is equivalent to the notion of Ricci soliton in Riemannian spaces. Quasi-Einstein metrics serve also as solution to the Ricci flow equation. Here, the Riemannian metric is replaced by a Hessian matrix derived from a Finsler structure and a quasi-Einstein Finsler metric is defined. In compact case, it is proved that the quasi-Einstein met...
متن کامل2 4 Fe b 20 08 Goldman flows on the Jacobian Lisa
We show that the Goldman flows preserve the holomorphic structure on the moduli space of homomorphisms of the fundamental group of a Riemann surface into U(1), in other words the Jacobian.
متن کامل