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Obata type results for the lowest eigenvalues on a quaternionic contact manifolds with Professor Dimiter Vassilev
This is a past event.
Thursday, November 3, 2022 at 2:30pm to 3:30pm
DM - Deuxieme Maison, DM409A
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199
Please join us at the Geometry and Topology Seminar with speaker Professor Dimiter Vassilev from University of New Mexico.
Abstract We will present Obata type rigidity results for the first eigenvalue of the sub-Laplacian on a quaternionic contact (QC) manifold which satisfies a Lichnerowicz-type bound on its quaternionic contact Ricci curvature. After a general overview we will focus on the rigidity result in the case of a compact seven dimensional QC manifold with a non-negative Paneitz P-function showing that the lowest possible eigenvalue of the sub-Laplacian is achieved if and only if the manifold is qc-equivalent to the standard 3-Sasakian sphere.
Graduate students are encouraged to attend.