A curvature identity on a 6-dimensional Riemannian Manifold and its applications
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🧮 math.DG
keywords
curvaturedimensionalidentitymanifoldriemannianapplicationschern-gauss-bonnetclosed
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We derive a curvature identity that holds on any 6-dimensional Riemannian manifold, from the Chern-Gauss-Bonnet theorem for a 6-dimensional closed Riemannian manifold. We also introduce some applications of this curvature identity.
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