A gap theorem and some uniform estimates for Ricci flows on homogeneous spaces
Geometric Flows in Riemannian and Complex Geometry May 02, 2016 - May 06, 2016
Location: SLMath: Eisenbud Auditorium
complex geometry
Riemannian geometry
geometric analysis
geometric flow
Ricci flow
curvature estimates
uniform estimate
Cheeger inequalities
14509
We prove a gap theorem for homogeneous spaces : If the norm of the Riemannian curvature is one, then the norm of the Ricci curvature is larger than $\ep(n)$, where $\ep(n)$ is a positive constant depending only on the dimension $n$ of the homogeneous space. This is used to show that solutions with finite extinction time are Type I, immortal solutions are Type III and ancient solutions are Type I, where all the constants involved depend only on the dimension $n$.
This is joint work with Christoph Böhm (University of Münster), Ramiro Lafuente (University of Münster)
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14509
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