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Killing-Yano Tensors and Superintegrable Systems
Authors:Özlem Defterli  Dumitru Baleanu
Affiliation:(1) Çankaya University, Faculty of Arts and Science, Department of Mathematics and Computer Science, 06530, Ankara, Turkey defterli@cankaya.edu.tr;(2) Çankaya University, Faculty of Arts and Science, Department of Mathematics and Computer Science, 06530, Ankara, Turkey baleanu@venus.nipne.ro
Abstract:Killing-Yano (KY) and Killing tensors of the four types of metrics, that represent the two-dimensional spaces given in Darbouxrsquos classification, are obtained. It is proved that all spaces admit dual manifolds and their KY tensors are calculated.
Keywords:Killing-Yano tensors  superintegrability  Killing tensors
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