Universal curvature identities

Details Universal curvature identities Universal curvature identities

2011-04-11

arxiv.org/abs/1104.1883v1

Mathematics

Differential Geometry

11 pages

Scientific paper

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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