Curvature invariants, Killing vector fields, connections and cohomogeneity

Sergio Console; Carlos Olmos

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arXiv · 0801.3211

Curvature invariants, Killing vector fields, connections and cohomogeneity

Sergio Console·Carlos Olmos

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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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Sergio Console, Carlos Olmos. 2008-02-04. Curvature invariants, Killing vector fields, connections and cohomogeneity. https://arxiv.org/abs/0801.3211

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