Higher order reduction theorems for classical connections and natural (0,2)-tensor fields on the cotangent bundle

2004/05/12 by Josef Janyška, Janyška, Josef
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #math.DG #msc:53C05 #msc:58A20 #msc:58A32

paper · pdf · doi:10.48550/arxiv.math/0405218

arxiv created 2004/05/12 · arxiv updated 2009/12/01

Abstract

We generalize reduction theorems for classical connections to operators with values in k-th order natural bundles. Using the first reduction theorem in order two we classify all (0,2)-tensor fields on the cotangent bundle of a manifold with a linear (non-symmetric) connection.

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