A generalization of a 4-dimensional Einstein manifold

Y. Euh; J. H. Park; K. Sekigawa

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arXiv · 1010.3822

A generalization of a 4-dimensional Einstein manifold

Y. Euh·J. H. Park·K. Sekigawa

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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.

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Y. Euh, J. H. Park, K. Sekigawa. 2010-10-19. A generalization of a 4-dimensional Einstein manifold. https://arxiv.org/abs/1010.3822

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