Curvature invariants, Killing vector fields, connections and cohomogeneity

2008/01/21 by Console, Sergio, Olmos, Carlos
#53C21 #53C30 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0801.3211

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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