This article is cited in 7 papers

Codazzi and Killing Tensors on a Complete Riemannian Manifold

S. E. Stepanov^ab, I. I. Tsyganok<sup>b

a</sup> All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences, Moscow
^b Financial University under the Government of the Russian Federation, Moscow

Abstract: The global geometry of the traceless Killing and Codazzi tensors on complete (in particular, compact) Riemannian manifolds is studied by methods of geometric analysis. Applications are considered.

Keywords: Killing and Codazzi tensors, complete Riemannian manifold, generalized Bochner technique.

UDC: 514.764.212+514.764.216

Received: 04.10.2019
Revised: 23.10.2020

DOI: 10.4213/mzm11955

 English version: Mathematical Notes, 2021, 109:6, 932–939

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