Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits

Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits

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...

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Bibliographic Details
Main Authors: Mihai Visinescu, Eduard Vîlcu
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-08-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Killing forms
Einstein-Sasaki space
Calabi-Yau spaces
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.058
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spelling doaj-2c2ad002039848d18ed6782f55ceb0d72020-11-25T00:05:25ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-08-018058Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling LimitsMihai VisinescuEduard VîlcuThe 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.http://dx.doi.org/10.3842/SIGMA.2012.058Killing formsEinstein-Sasaki spaceCalabi-Yau spaces
collection DOAJ
language English
format Article
sources DOAJ
author Mihai Visinescu
Eduard Vîlcu
spellingShingle Mihai Visinescu
Eduard Vîlcu
Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
Symmetry, Integrability and Geometry: Methods and Applications
Killing forms
Einstein-Sasaki space
Calabi-Yau spaces
author_facet Mihai Visinescu
Eduard Vîlcu
author_sort Mihai Visinescu
title Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
title_short Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
title_full Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
title_fullStr Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
title_full_unstemmed Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
title_sort hidden symmetries of euclideanised kerr-nut-(a)ds metrics in certain scaling limits
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2012-08-01
description 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.
topic Killing forms
Einstein-Sasaki space
Calabi-Yau spaces
url http://dx.doi.org/10.3842/SIGMA.2012.058
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AT eduardvilcu hiddensymmetriesofeuclideanisedkerrnutadsmetricsincertainscalinglimits
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