Mihai Visinescu, Gabriel Eduard Vîlcu, “Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits”, SIGMA, 2012, Volume 8,058, 15 pp.

This article is cited in 17 papers

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

Mihai Visinescu^a, Gabriel Eduard Vîlcu^bc

^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

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.

MSC: 53C15; 53C25; 81T20

Received: May 29, 2012; in final form July 23, 2012; Published online August 27, 2012

Language: English

DOI: 10.3842/SIGMA.2012.058