|
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
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.
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
Linking options:
https://www.mathnet.ru/eng/into633 https://www.mathnet.ru/eng/into/v179/p94
|
| Statistics & downloads: |
| Abstract page: | 396 | | Full-text PDF : | 240 | | References: | 59 |
|