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arXiv:1008.2439 [math.DG]AbstractReferencesReviewsResources

A Curvature identity on a 4-dimensional Riemannian manifold

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

Published 2010-08-14Version 1

We give a curvature identity derived from the generalized Gauss-Bonnet formula for 4-dimensional compact oriented Riemannian manifolds. We prove that the curvature identity holds on any 4-dimensional Riemannian manifold which is not necessarily compact. We also provide some applications of the identity.

Comments: 10 pages
Categories: math.DG
Subjects: 53B20, 53C20
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