Curvature invariants, Killing vector fields, connections and cohomogeneity

Console, Sergio; Olmos, Carlos

doi:10.1090/S0002-9939-08-09669-X

Curvature invariants, Killing vector fields, connections and cohomogeneity
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Proc. Amer. Math. Soc. 137 (2009), 1069-1072 Request permission

Abstract:

A direct, bundle-theoretic method for defining and extending local isometries out of curvature data is developed. As a by-product, conceptual direct proofs of a classical result of Singer and a recent result of the authors are derived.

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