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arxiv: 1104.1883 · v1 · pith:LQVKAVUVnew · submitted 2011-04-11 · 🧮 math.DG

Universal curvature identities

classification 🧮 math.DG
keywords curvaturegauss-bonnetgiveidentitiesuniversalconcerningderivationequation
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We study scalar and symmetric 2-form valued universal curvature identities. We use this to establish the Gauss-Bonnet theorem using heat equation methods, to give a new proof of a result of Kuz'mina and Labbi concerning the Euler-Lagrange equations of the Gauss-Bonnet integral, and to give a new derivation of the Euh-Park-Sekigawa identity.

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