Displaying similar documents to “Tensor fields of type (0,2) on linear frame bundles and cotangent bundles”

Canonical tensor fields of type (p,0) on Weil bundles

Jacek Dębecki (2006)

Annales Polonici Mathematici

Similarity:

We give a classification of canonical tensor fields of type (p,0) on an arbitrary Weil bundle over n-dimensional manifolds under the condition that n ≥ p. Roughly speaking, the result we obtain says that each such canonical tensor field is a sum of tensor products of canonical vector fields on the Weil bundle.

On applications of the Yano–Ako operator

A. Magden, Arif A. Salimov (2006)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

In this paper we consider a method by which a skew-symmetric tensor field of type (1,2) in M n can be extended to the tensor bundle T q 0 ( M n ) ( q > 0 ) on the The results obtained are to some extend similar to results previously established for cotangent bundles T 1 0 ( M n ) . However, there are various important differences and it appears that the problem of lifting tensor fields of type (1,2) to the tensor bundle T q 0 ( M n ) ( q > 1 ) on the presents difficulties which are not encountered in the...