The Killing Tensors on an $n$-dimensional Manifold with $SL(n,)$-structure

Stepanov, Sergey E.; Tsyganok, Irina I.; Khripunova, Marina B.

Geodesic

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The Killing Tensors on an $n$-dimensional Manifold with $SL(n,)$-structure

Stepanov, Sergey E. ; Tsyganok, Irina I. ; Khripunova, Marina B.

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 121-131.

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Résumé

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 $SL(n,)$-structure and discuss possible applications of obtained results in Riemannian geometry.

MR Zbl

Classification : 53A15, 53A45
Keywords: Differentiable manifold; $SL(n, )$-structure; Killing tensors

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     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
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Stepanov, Sergey E.; Tsyganok, Irina I.; Khripunova, Marina B. The Killing Tensors on an $n$-dimensional Manifold with $SL(n,)$-structure. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 121-131. http://geodesic.mathdoc.fr/item/AUPO_2016__55_1_a13/