On symmetric Killing tensors and Codazzi tensors of ranks $p\geq 2$

S. E. Stepanov; I. A. Aleksandrova; I. I. Tsyganok

Geodesic

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On symmetric Killing tensors and Codazzi tensors of ranks $p\geq 2$

S. E. Stepanov ; I. A. Aleksandrova ; I. I. Tsyganok

Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 179 (2020), pp. 94-120

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Résumé

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.

@article{INTO_2020_179_a14,
     author = {S. E. Stepanov and I. A. Aleksandrova and I. I. Tsyganok},
     title = {On symmetric {Killing} tensors and {Codazzi} tensors of ranks $p\geq 2$},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {94--120},
     publisher = {mathdoc},
     volume = {179},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_179_a14/}
}

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S. E. Stepanov; I. A. Aleksandrova; I. I. Tsyganok. On symmetric Killing tensors and Codazzi tensors of ranks $p\geq 2$. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 179 (2020), pp. 94-120. http://geodesic.mathdoc.fr/item/INTO_2020_179_a14/