Special classes of transversely Kähler almost contact metric manifolds

Início: 23/06/2023 17:00

Término: 23/06/2023 18:00

Palestrante: Giulia Dileo (Univesity of Bari)

E-mail do Palestrante: giulia.dileo@uniba.it

Resumo: I will discuss some special classes of almost contact metric manifolds $(M,varphi,xi,eta,g)$ such that the structure $(varphi,g)$ is projectable along the 1-dimensional foliation generated by $xi$, and the transverse geometry is given by a Kähler structure. I will focus on quasi-Sasakian manifolds and the new class of anti-quasi-Sasakian manifolds. In this case, the transverse geometry is given by a Kähler structure endowed with a closed 2-form of type (2,0), as for instance hyperkähler structures. I will describe examples of anti-quasi-Sasakian manifolds, including compact nilmanifolds and principal circle bundles, investigate Riemannian curvature properties, and the existence of connections with torsion preserving the structure. This is a joint work with Dario Di Pinto (Bari).