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Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
Інший ID:
2010 Mathematics Subject Classification: 53C15; 53C25; 81T20
DOI: http://dx.doi.org/10.3842/SIGMA.2012.058
DOI: http://dx.doi.org/10.3842/SIGMA.2012.058
Посилання:
Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits / M. Visinescu, E. Vîlcu // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 51 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html.
The authors would like to thank to the referees for comments and valuable suggestions. MV was supported by CNCS-UEFISCDI, project number PN-II-ID-PCE-2011-3-0137. The work of GEV was supported by CNCS-UEFISCDI, project number PN-II-ID-PCE-2011-3-0118.
Дата:
2012
Переглядів:
513
Завантажень:
227
Анотація:
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.
