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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 179, Pages 94–120
DOI: https://doi.org/10.36535/0233-6723-2020-179-94-120 (Mi into633) 		 
On symmetric Killing tensors and Codazzi tensors of ranks $p\geq 2$

S. E. Stepanovab, I. A. Aleksandrovaa, I. I. Tsyganoka

a Financial University under the Government of the Russian Federation, Moscow
b Russian Institute for Scientific and Technical Information of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.36535/0233-6723-2020-179-94-120
Abstract: This paper is devoted to the geometry of symmetric Killing tensors and Codazzi tensors of ranks $p\ge 2$ and includes, in addition to the new results obtained in this paper, a survey on this topic from earlier works.
Keywords: Killing tensor, Codazzi tensor, geodesic, Riemannian manifold, curvature tensor.
Document Type: Article
UDC: 514.764.212
MSC: 53C22
Language: Russian
Citation: S. E. Stepanov, I. A. Aleksandrova, I. I. Tsyganok, “On symmetric Killing tensors and Codazzi tensors of ranks $p\geq 2$”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 179, VINITI, Moscow, 2020, 94–120
Citation in format AMSBIB
\Bibitem{SteAleTsy20}
\by S.~E.~Stepanov, I.~A.~Aleksandrova, I.~I.~Tsyganok
\paper On symmetric Killing tensors and Codazzi tensors of ranks $p\geq 2$
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 179
\pages 94--120
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into633}
\crossref{https://doi.org/10.36535/0233-6723-2020-179-94-120}
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