A Curvature Identity on a 4-Dimensional Riemannian Manifold

By Y. Euh, JeongHyeong Park, K. Sekigawa. 2010

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We recall a curvature identity for 4-dimensional compact Riemannian manifolds as derived from the generalized Gauss–Bonnet formula. We extend this curvature identity to non-compact 4-dimensional Riemannian manifolds. We also give some applications of this curvature identity.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/696398e04f8c0b578f61febecdfaa7aa40c030d7