Higher Order Reduction Theorems for Classical Connections and Natural (0,2)-tensor Fields on the Cotangent Bundle

  • JOSEF JANYŠKA
  • Published 2004

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 (nonsymmetric) connection. 

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