3 papers
math.DG2022
Deformations of Vaisman manifolds
Liviu Ornea, Vladimir Slesar
We construct a type of transverse deformations of a Vaisman manifold, which preserves the canonical foliation. For this construction we only need a basic 1-form with certain proper…
math-ph2019
Transverse Kähler-Ricci flow and deformations of the metric on the Sasaki space
Vladimir Slesar, Mihai Visinescu, Gabriel-Eduard Vîlcu
In this paper we investigate the possibility to obtain locally new Sasaki-Einstein metrics on the space considering a deformation of the standard metric tensor field. We…
math.DG2017
The spectral sequence of the canonical foliation on Vaisman manifolds
Liviu Ornea, Vladimir Slesar
In this paper we investigate the spectral sequence associated to a Riemannian foliation which arises naturally on a Vaisman manifold. Using the Betti numbers of the underlying mani…