On the equivalence problem for manifolds of indefinite metrics

Ognian Kassabov

On the equivalence problem for manifolds of indefinite metrics

Differential Geometry 2010-08-31 v1

Authors: Ognian Kassabov

Abstract

Conditions, related to Kulkarni's equivalence problem are considered for indefinite Riemannian and Kaehlerian manifolds. Corresponding theorems are obtained for the values of the Ricci tensor on isotropic vectors as well as for the values of the curvature tensor on degenerate holomorphic 2-planes.

Keywords

indefinite Riemannian manifolds indefinite Kaehlerian manifolds Kulkarni equivalence problem Ricci tensor isotropic vectors curvature tensor degenerate holomorphic 2-planes

Cite

@article{arxiv.1008.5083,
  title  = {On the equivalence problem for manifolds of indefinite metrics},
  author = {Ognian Kassabov},
  journal= {arXiv preprint arXiv:1008.5083},
  year   = {2010}
}

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5 pages

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