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On an ODE Associated to the Ricci Flow
(2018-04-18)
We discuss two topics in this talk. First we study compact Ricci-flat four dimensional manifolds without boundary and obtain point wise restrictions on curvature( not involving global quantities such as volume and diameter) ...
On the Stability of Certain Riemannian Functionals
(2018-03-06)
Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lp-norm of the curvature tensor,
defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider ...