A generalization of a 4-dimensional Einstein manifold
Differential Geometry
2010-10-20 v1
Abstract
A weakly Einstein manifold is a generalization of a 4-dimensional Einstein manifold, which is defined as an application of a curvature identity derived from the generalized Gauss-Bonnet formula for a 4-dimensional compact oriented Riemannian manifold. In this paper, we shall give a characterization of a weakly Einstein manifold.
Keywords
Cite
@article{arxiv.1010.3822,
title = {A generalization of a 4-dimensional Einstein manifold},
author = {Y. Euh and J. H. Park and K. Sekigawa},
journal= {arXiv preprint arXiv:1010.3822},
year = {2010}
}
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16 pages