A generalization of a 4-dimensional Einstein manifold

Details A generalization of a 4-dimensional Einstein manifold A generalization of a 4-dimensional Einstein manifold

2010-10-19

arxiv.org/abs/1010.3822v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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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