Curvature invariants, Killing vector fields, connections and cohomogeneity

作者: Sergio Console , Carlos Olmos

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

关键词: Mathematical analysisKilling vector fieldDirect methodIsometryCurvatureMathematicsInvariance principlePure mathematicsMathematical proofVector fieldInvariant (mathematics)

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

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