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arxiv: 0801.3211 · v2 · submitted 2008-01-21 · 🧮 math.DG

Curvature invariants, Killing vector fields, connections and cohomogeneity

classification 🧮 math.DG
keywords curvaturedirectresultauthorsbundle-theoreticby-productclassicalcohomogeneity
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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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