Toric data, Killing forms and complete integrability of geodesics in Sasaki-Einstein spaces \(Y^{p,q}\)

DOI10.1016/j.aop.2015.07.016zbMath1360.53050arXiv1506.04483OpenAlexW2963470709MaRDI QIDQ527876

Vladimir Slesar, Mihai Visinescu, Gabriel Eduard Vîlcu

Publication date: 12 May 2017

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04483

zbMATH Keywords

Calabi-Yau manifoldssymplectic potentialKilling formsSasaki-Einstein spaces

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geodesics in global differential geometry (53C22) Contact manifolds (general theory) (53D10)

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Integrability of the geodesic flow on the resolved conifolds over Sasaki–Einstein space T1,1, Sasaki–Ricci flow equation on five-dimensional Sasaki–Einstein space Yp,q, Contact Hamiltonian systems and complete integrability, Hypersurfaces of a Sasakian manifold -- revisited

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