The Killing Tensors on an n -dimensional Manifold with S L ( n , ) -structure

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

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)

  • Volume: 55, Issue: 1, page 121-131
  • ISSN: 0231-9721

Abstract

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

How to cite

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Stepanov, Sergey E., Tsyganok, Irina I., and Khripunova, Marina B.. "The Killing Tensors on an $n$-dimensional Manifold with $SL(n,)$-structure." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.1 (2016): 121-131. <http://eudml.org/doc/286717>.

@article{Stepanov2016,
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 $SL(n,)$-structure and discuss possible applications of obtained results in Riemannian geometry.},
author = {Stepanov, Sergey E., Tsyganok, Irina I., Khripunova, Marina B.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Differentiable manifold; $SL(n,)$-structure; Killing tensors},
language = {eng},
number = {1},
pages = {121-131},
publisher = {Palacký University Olomouc},
title = {The Killing Tensors on an $n$-dimensional Manifold with $SL(n,)$-structure},
url = {http://eudml.org/doc/286717},
volume = {55},
year = {2016},
}

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
PB - Palacký University Olomouc
VL - 55
IS - 1
SP - 121
EP - 131
AB - 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.
LA - eng
KW - Differentiable manifold; $SL(n,)$-structure; Killing tensors
UR - http://eudml.org/doc/286717
ER -

References

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