Abstracts

Mihai Visinescu

Sasaki-Ricci flow on Sasaki-Einstein space T(1,1)

We examine the compact Sasaki manifolds in view of transverse Kahler geometry and transverse Kahler-Ricci flow. In particular we study the transverse Kahler geometry of the five-dimensional Sasaki-Einstein space T(1,1). For this purpose a set of local holomorphic coordinates is introduced and a Sasakian analogue of the Kahler potential is produced. We investigate deformations of the Sasaki-Einstein structure preserving the Reeb vector field, but modifying the contact form. Finally, it is described the constructions of Hamiltonian vector fields and Hamiltonian function on the T(1,1) manifold.