Geometry of Lax pairs: Particle motion and Killing-Yano tensors
نویسندگان
چکیده
منابع مشابه
Killing-yano Tensors and Nambu Tensors
We present the conditions when a Killing-Yano tensor becomes a Nambu tensor. We have shown that in the flat space case all Killing-Yano tensors are Nambu tensors. In the case of Taub-NUT metric and Kerr-Newmann metric we found that a Killing-Yano tensor of order two generate a Nambu tensor of order three. after 1st September 1999 at Institute of Space Sciences,Bucharest-Magurele, Romania e-mail...
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The integrability conditions for the existence of a conformal Killing-Yano tensor of arbitrary order are worked out in all dimensions and expressed in terms of the Weyl tensor. As a consequence, the integrability conditions for the existence of a Killing-Yano tensor are also obtained. By means of such conditions, it is shown that in certain Einstein spaces one can use a conformal Killing-Yano t...
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We investigate higher rank Killing-Yano tensors showing that third rank Killing-Yano tensors are not always trivial objects being possible to construct irreducible Killing tensors from them. We give as an example the Kimura IIC metric were from two rank Killing-Yano tensors we obtain a reducible Killing tensor and from third rank Killing-Yano tensors we obtain three Killing tensors, one reducib...
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Quadratic Lagrangians are obtained by adding surface terms involving the angular momentum to a free particle Lagrangian. Killing–Yano tensors corresponding to the manifold structure induced by the quadratic Lagrangians were calculated and the associated non-generic symmetries were presented.
متن کاملKilling-yano Tensors and Nambu Mechanics
Killing-Yano tensors was introduced in 1952 by Kentaro-Yano from mathematically point of view.The physical interpretation of KillingYano tensors of rang higher than two was unclear. We found the conditions when a Killing-Yano tensor becomes a Nambu tensor. We found that in flat space case all the Killing-Yano tensors are Nambu tensors. Permanent address: Institute of Space Sciences,Bucharest-Ma...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2013
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.87.024002