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
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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.
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.
Classification :
53A15, 53A45
Keywords: Differentiable manifold; $SL(n, )$-structure; Killing tensors
Keywords: Differentiable manifold; $SL(n, )$-structure; Killing tensors
@article{AUPO_2016_55_1_a13,
author = {Stepanov, Sergey E. and Tsyganok, Irina I. and Khripunova, Marina B.},
title = {The {Killing} {Tensors} on an $n$-dimensional {Manifold} with $SL(n,)$-structure},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {121--131},
year = {2016},
volume = {55},
number = {1},
mrnumber = {3674606},
zbl = {1365.53027},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2016_55_1_a13/}
}
TY - JOUR AU - Stepanov, Sergey E. AU - Tsyganok, Irina I. AU - Khripunova, Marina B. TI - The Killing Tensors on an $n$-dimensional Manifold with $SL(n,)$-structure JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica PY - 2016 SP - 121 EP - 131 VL - 55 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPO_2016_55_1_a13/ LA - en ID - AUPO_2016_55_1_a13 ER -
%0 Journal Article %A Stepanov, Sergey E. %A Tsyganok, Irina I. %A Khripunova, Marina B. %T The Killing Tensors on an $n$-dimensional Manifold with $SL(n,)$-structure %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2016 %P 121-131 %V 55 %N 1 %U http://geodesic.mathdoc.fr/item/AUPO_2016_55_1_a13/ %G en %F AUPO_2016_55_1_a13
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/