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42 citations · 546 across the 50 of their papers we have counts for

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math-ph2019★ 1 cited

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-ph2015

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…

math-ph2015

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…

math-ph2014★ 14 cited

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…

math-ph2013★ 3 cited

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…

math-ph2012★ 21 cited

Killing forms on the five-dimensional Einstein-Sasaki Y(p,q) spaces

Mihai Visinescu

We present the complete set of Killing-Yano tensors on the five-dimensional Einstein-Sasaki Y(p,q) spaces. Two new Killing-Yano tensors are identified, associated with the complex…