Event calendar file
School of Mathematics Colloquium
Prescribing Ricci curvature on a product of spheres
by Dr. Anusha Mangala Krishnan (Syracuse University)
Thursday, February 25, 2021
from
to
(Asia/Kolkata)
at Over Zoom
at Over Zoom
| Description |
Abstract: The Ricci curvature Ric(g) is a symmetric 2-tensor on a Riemannian manifold (M,g) that encodes curvature information. The Ricci curvature features in several interesting geometric PDEs such as the Ricci flow and the Einstein equation. The nature of Ric(g) as a differential operator in particular its nonlinearity and the fact that it is degenerate make these PDEs particularly challenging. In this talk I will address the following question. Given a symmetric 2-tensor T on a manifold M, does there exist a metric g such that Ric(g) = T? I will discuss some classical results as well as some recent work in the presence of symmetry. |
