How many are affine connections with torsion
Zdeněk Dušek; Oldřich Kowalski
Archivum Mathematicum (2014)
- Volume: 050, Issue: 5, page 257-264
- ISSN: 0044-8753
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topDušek, Zdeněk, and Kowalski, Oldřich. "How many are affine connections with torsion." Archivum Mathematicum 050.5 (2014): 257-264. <http://eudml.org/doc/262182>.
@article{Dušek2014,
abstract = {The question how many real analytic affine connections exist locally on a smooth manifold $M$ of dimension $n$ is studied. The families of general affine connections with torsion and with skew-symmetric Ricci tensor, or symmetric Ricci tensor, respectively, are described in terms of the number of arbitrary functions of $n$ variables.},
author = {Dušek, Zdeněk, Kowalski, Oldřich},
journal = {Archivum Mathematicum},
keywords = {affine connection; Ricci tensor; Cauchy-Kowalevski Theorem; affine connection; Ricci tensor; Cauchy-Kowalevski theorem},
language = {eng},
number = {5},
pages = {257-264},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {How many are affine connections with torsion},
url = {http://eudml.org/doc/262182},
volume = {050},
year = {2014},
}
TY - JOUR
AU - Dušek, Zdeněk
AU - Kowalski, Oldřich
TI - How many are affine connections with torsion
JO - Archivum Mathematicum
PY - 2014
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 050
IS - 5
SP - 257
EP - 264
AB - The question how many real analytic affine connections exist locally on a smooth manifold $M$ of dimension $n$ is studied. The families of general affine connections with torsion and with skew-symmetric Ricci tensor, or symmetric Ricci tensor, respectively, are described in terms of the number of arbitrary functions of $n$ variables.
LA - eng
KW - affine connection; Ricci tensor; Cauchy-Kowalevski Theorem; affine connection; Ricci tensor; Cauchy-Kowalevski theorem
UR - http://eudml.org/doc/262182
ER -
References
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