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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 058, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.058 (Mi sigma735) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits

Mihai Visinescua, Gabriel Eduard Vîlcubc

a National Institute for Physics and Nuclear Engineering, Department of Theoretical Physics, P.O. Box M.G.-6, Magurele, Bucharest, Romania
b Petroleum-Gas University of Ploieşti, Department of Mathematical Economics, Bulevardul Bucureşti, Nr. 39, Ploieşti 100680, Romania
c University of Bucharest, Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra, Str. Academiei, Nr. 14, Sector 1, Bucharest 70109, Romania
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DOI: https://doi.org/10.3842/SIGMA.2012.058
Abstract: 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.
Keywords: Killing forms; Einstein–Sasaki space; Calabi–Yau spaces.
Received: May 29, 2012; in final form July 23, 2012; Published online August 27, 2012
Bibliographic databases:
Document Type: Article
MSC: 53C15; 53C25; 81T20
Language: English
Citation: Mihai Visinescu, Gabriel Eduard Vîlcu, “Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits”, SIGMA, 8 (2012), 058, 15 pp.
Citation in format AMSBIB
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\by Mihai Visinescu, Gabriel Eduard V{\^\i}lcu
\paper Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits
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\papernumber 058
\totalpages 15
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    		Symmetry, Integrability and Geometry: Methods and Applications
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