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Special Einstein's equations on K\"ahler manifolds

Differential Geometry 2010-03-24 v1

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 K\"ahler manifolds. We show that in this case the number of classes reduces.

Keywords

Cite

@article{arxiv.1003.4396,
  title  = {Special Einstein's equations on K\"ahler manifolds},
  author = {I. Hinterleitner and V. Kiosak},
  journal= {arXiv preprint arXiv:1003.4396},
  year   = {2010}
}

Comments

5 pages

R2 v1 2026-06-21T15:01:16.558Z