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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…
hep-th2015★ 13 cited
Complete integrability of geodesic motion in Sasaki-Einstein toric spaces
Elena Mirela Babalic, Mihai Visinescu
We construct explicitly the constants of motion for geodesics in the -dimensional Sasaki-Einstein spaces . To carry out this task we use the knowledge of the complete s…
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…