Curvature tensors in dimension four which do not belong to any curvature homogeneous space
Oldřich Kowalski; Friedbert Prüfer
Archivum Mathematicum (1994)
- Volume: 030, Issue: 1, page 45-57
- ISSN: 0044-8753
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topKowalski, Oldřich, and Prüfer, Friedbert. "Curvature tensors in dimension four which do not belong to any curvature homogeneous space." Archivum Mathematicum 030.1 (1994): 45-57. <http://eudml.org/doc/247559>.
@article{Kowalski1994,
abstract = {A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.},
author = {Kowalski, Oldřich, Prüfer, Friedbert},
journal = {Archivum Mathematicum},
keywords = {Riemannian manifolds; curvature tensor; curvature homogeneous spaces; locally homogeneous spaces; curvature homogeneous; algebraic curvature tensors},
language = {eng},
number = {1},
pages = {45-57},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Curvature tensors in dimension four which do not belong to any curvature homogeneous space},
url = {http://eudml.org/doc/247559},
volume = {030},
year = {1994},
}
TY - JOUR
AU - Kowalski, Oldřich
AU - Prüfer, Friedbert
TI - Curvature tensors in dimension four which do not belong to any curvature homogeneous space
JO - Archivum Mathematicum
PY - 1994
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 030
IS - 1
SP - 45
EP - 57
AB - A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.
LA - eng
KW - Riemannian manifolds; curvature tensor; curvature homogeneous spaces; locally homogeneous spaces; curvature homogeneous; algebraic curvature tensors
UR - http://eudml.org/doc/247559
ER -
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