S. E. Stepanov, I. A. Aleksandrova, I. I. Tsyganok, “On symmetric Killing tensors and Codazzi tensors of ranks <nobr>$p\geq 2$</nobr>”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020, Volume 179,Pages <nobr>94

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

S. E. Stepanov^ab, I. A. Aleksandrova^a, I. I. Tsyganok^a

^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

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.

UDC: 514.764.212

MSC: 53C22

DOI: 10.36535/0233-6723-2020-179-94-120