The seminar on differential geometry will continue with this lecture:

October 26, 10am, online on MS Teams

Join via this LINK.

Keegan Flood (our new researcher, Masaryk university):

The geometry of a certain class of singular solutions to the c-projective metrizability equation

Abstract:

A nondegenerate solution to the c-projective metrizability equation is equivalent to a quasi-Kahler metric that is compatible with the c-projective class. By replacing this nondegeneracy condition on a solution to the metrizability equation with a nondegeneracy condition on its prolonged system we get a curved orbit decomposition of the underlying manifold where the open orbits inherit quasi-Kahler metrics and the closed orbits inherit CR-structures of hypersurface type. We may also examine the analogue of these considerations in the setting of projective geometry.