Special Einstein’s equations on Kähler manifolds

Irena Hinterleitner; Volodymyr Kiosak

Archivum Mathematicum (2010)

  • Volume: 046, Issue: 5, page 333-337
  • ISSN: 0044-8753

Abstract

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This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.

How to cite

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Hinterleitner, Irena, and Kiosak, Volodymyr. "Special Einstein’s equations on Kähler manifolds." Archivum Mathematicum 046.5 (2010): 333-337. <http://eudml.org/doc/116496>.

@article{Hinterleitner2010,
abstract = {This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.},
author = {Hinterleitner, Irena, Kiosak, Volodymyr},
journal = {Archivum Mathematicum},
keywords = {Einstein’s equations; Kähler manifolds; pseudo-Riemannian spaces; Riemannian spaces; Einstein's equation; Kähler manifold; pseudo-Riemannian space; Riemannian space},
language = {eng},
number = {5},
pages = {333-337},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Special Einstein’s equations on Kähler manifolds},
url = {http://eudml.org/doc/116496},
volume = {046},
year = {2010},
}

TY - JOUR
AU - Hinterleitner, Irena
AU - Kiosak, Volodymyr
TI - Special Einstein’s equations on Kähler manifolds
JO - Archivum Mathematicum
PY - 2010
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 046
IS - 5
SP - 333
EP - 337
AB - This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.
LA - eng
KW - Einstein’s equations; Kähler manifolds; pseudo-Riemannian spaces; Riemannian spaces; Einstein's equation; Kähler manifold; pseudo-Riemannian space; Riemannian space
UR - http://eudml.org/doc/116496
ER -

References

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  7. Schouten, J. A., Struik, D. J., Einführung in die neueren Methoden der Differentialgeometrie, Groningen, P. Noordhoff, 1935. (1935) Zbl0011.17404
  8. Stepanov, S. E., The seven classes of almost symplectic structures, Webs and quasigroups, Tver. Gos. Univ., Tver', 1992, pp. 93–96. (1992) Zbl0862.53030MR1227168
  9. Stepanov, S. E., 10.1007/BF02634197, Theoret. and Math. Phys. 111 (1) (1997), 419–427. (1997) MR1473424DOI10.1007/BF02634197
  10. Stepanov, S. E., Tsyganok, I. I., The seven classes of the Einstein equations, arXiv:1001.4673v1. 
  11. Yano, K., Differential geometry of complex and almost comlex spaces, Pergamon Press, 1965. (1965) 

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