期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications
Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
article
Mihai Visinescu1  Eduard Vîlcu2 
[1] National Institute for Physics and Nuclear Engineering, Department of Theoretical Physics;Petroleum-Gas University of Ploieşti, Department of Mathematical Economics;University of Bucharest, Faculty of Mathematics and Computer Science, Research Center in Geometry
关键词: Killing forms;    Einstein–Sasaki space;    Calabi–Yau spaces;   
DOI  :  10.3842/SIGMA.2012.058
来源: National Academy of Science of Ukraine
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【 摘 要 】

The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones. The complete set of Killing-Yano tensors of the Einstein-Sasaki spaces are presented. For this purpose the Killing forms of the Calabi-Yau cone over the Einstein-Sasaki manifold are constructed. Two new Killing forms on Einstein-Sasaki manifolds are identified associated with the complex volume form of the cone manifolds. Finally the Killing forms on mixed 3-Sasaki manifolds are briefly described.

【 授权许可】

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