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Geometry & Topology Seminar

Title: Stability of quadratic curvature functionals at product of Einstein manifolds
Speaker: Soma Maity (IISER Mohali)
Date: 11 March 2019
Time: 4 pm
Venue: LH-1, Mathematics Department

Consider Riemannian functionals defined by L^2-norms of Ricci curvature, scalar curvature, Weyl curvature and Riemannian curvature. I will talk about rigidity, stability and local minimizing properties of Einstein metrics and their products as critical metrics of these quadratic functionals. We prove that the product of a spherical space form and a compact hyperbolic manifold is unstable for certain quadratic functionals if the first eigenvalue of the Laplacian of the hyperbolic manifold is sufficiently small. We also prove the stability of L^{n/2}-norm of Weyl curvature at compact quotients of Sn × Hm.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 18 May 2024