Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity

Giovanni Calvaruso

Archivum Mathematicum (2010)

  • Volume: 046, Issue: 2, page 119-134
  • ISSN: 0044-8753

Abstract

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We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.

How to cite

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Calvaruso, Giovanni. "Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity." Archivum Mathematicum 046.2 (2010): 119-134. <http://eudml.org/doc/37772>.

@article{Calvaruso2010,
abstract = {We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.},
author = {Calvaruso, Giovanni},
journal = {Archivum Mathematicum},
keywords = {conformally flat manifolds; semi-symmetric and pseudo-symmetric spaces; homogeneous and curvature homogeneous spaces; conformally flat manifold; semi-symmetric space; pseudo-symmetric space; homogeneous space; curvature homogeneous space},
language = {eng},
number = {2},
pages = {119-134},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity},
url = {http://eudml.org/doc/37772},
volume = {046},
year = {2010},
}

TY - JOUR
AU - Calvaruso, Giovanni
TI - Conformally flat Lorentzian three-spaces with various properties of symmetry and homogeneity
JO - Archivum Mathematicum
PY - 2010
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 046
IS - 2
SP - 119
EP - 134
AB - We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.
LA - eng
KW - conformally flat manifolds; semi-symmetric and pseudo-symmetric spaces; homogeneous and curvature homogeneous spaces; conformally flat manifold; semi-symmetric space; pseudo-symmetric space; homogeneous space; curvature homogeneous space
UR - http://eudml.org/doc/37772
ER -

References

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