Mathematics – Differential Geometry
Scientific paper
2010-08-14
Mathematics
Differential Geometry
10 pages
Scientific paper
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.
Euh Yunhee
Park Jae-Heung
Sekigawa Kouei
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