The Killing tensors on an $n$ -dimensional manifold with $SL(n, R)$-structure

S. E. Stepanov; I. I. Tsyganok

The Killing tensors on an $n$ -dimensional manifold with $SL(n, R)$-structure

Differential Geometry 2015-09-09 v1

Authors: S. E. Stepanov , I. I. Tsyganok

Abstract

In this paper we solve the problem of finding integrals of equations determining the Killing tensors on an $n$ -dimensional differentiable manifold $M$ endowed with an equiaffine $SL(n, R)$ -structure and discuss possible applications of obtained results in Riemannian geometry.

Keywords

killing tensors n-dimensional manifold SL(n,R)-structure equiaffine structure riemannian geometry differential equations

Cite

@article{arxiv.1509.02296,
  title  = {The Killing tensors on an $n$ -dimensional manifold with $SL(n, R)$-structure},
  author = {S. E. Stepanov and I. I. Tsyganok},
  journal= {arXiv preprint arXiv:1509.02296},
  year   = {2015}
}

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