Tensor fields of type (0,2) on linear frame bundles and cotangent bundles
Tensor valued Colombeau functions on manifolds
Extending the construction of the algebra of scalar valued Colombeau functions on a smooth manifold M (cf. [4]), we present a suitable basic space for eventually obtaining tensor valued generalized functions on M, via the usual quotient construction. This basic space canonically contains the tensor valued distributions and permits a natural extension of the classical Lie derivative. Its members are smooth functions depending-via a third slot-on so-called transport operators, in addition to slots...
Tensorielle Produkte regulärer Linearformenmoduln.
The Killing Tensors on an -dimensional Manifold with -structure
In this paper we solve the problem of finding integrals of equations determining the Killing tensors on an -dimensional differentiable manifold endowed with an equiaffine -structure and discuss possible applications of obtained results in Riemannian geometry.
The natural operators transforming affinors to tensor fields of type