14 citations · 19 across the 10 of their papers we have counts for
10 papers
Vaisman manifolds and transversally Kähler-Einstein metrics
Vladimir Slesar, Gabriel-Eduard Vîlcu
We use the transverse Kähler-Ricci flow on the canonical foliation of a closed Vaisman manifold to deform the Vaisman metric into another Vaisman metric with a transverse Kähler-Ei…
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…
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…
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…
Toric data, Killing forms and complete integrability of geodesics in Sasaki-Einstein spaces
Vladimir Slesar, Mihai Visinescu, Gabriel Eduard Vilcu
In the present paper we show that the complete list of special Killing forms on the 5-dimensional Sasaki-Einstein spaces can be extracted using the symplectic potential a…
Toric data and Killing forms on homogeneous Sasaki-Einstein manifold
Vladimir Slesar, Mihai Visinescu, Gabriel Eduard Vilcu
Throughout this paper we investigate the complex structure of the conifold basically making use of the interplay between symplectic and complex approaches of the Kähle…
A note on transverse divergence and taut Riemannian foliations
Vladimir Slesar
In this note we give a characterization of taut Riemannian foliations using the transverse divergence. This result turns out to be a convenient tool in the case of some standard ex…
Basic Morse-Novikov cohomology for foliations
Liviu Ornea, Vladimir Slesar
In this paper we find sufficient conditions for the vanishing of the Morse-Novikov cohomology on Riemannian foliations. We work out a Bochner technique for twisted cohomological co…
Special Killing forms on toric Sasaki-Einstein manifolds
Vladimir Slesar, Mihai Visinescu, Gabriel Eduard Vilcu
In this paper we study the interplay between complex coordinates on the Calabi-Yau metric cone and the special Killing forms on the toric Sasaki-Einstein manifold. In the general c…
Transverse Killing and twistor spinors associated to the basic Dirac operators
Adrian Mihai Ionescu, Vladimir Slesar, Mihai Visinescu +1
We study the interplay between basic Dirac operator and transverse Killing and twistor spinors. In order to obtain results for general Riemannian foliations with bundle-like metric…