Special Einstein's equations on Kähler manifolds

Details Special Einstein's equations on Kähler manifolds Special Einstein's equations on Kähler manifolds

2010-03-23

arxiv.org/abs/1003.4396v1

Mathematics

Differential Geometry

5 pages

Scientific paper

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.

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