Reducibility theorems for differentiable liftings in fiber bundles

Demeter Krupka

Displaying similar documents to “Reducibility theorems for differentiable liftings in fiber bundles”

Elementary theory of differential invariants

Demeter Krupka (1978)

Archivum Mathematicum

Similarity:

Natural differential operators between some natural bundles

Włodzimierz M. Mikulski (1993)

Mathematica Bohemica

Similarity:

Let $F$ and $G$ be two natural bundles over $n$ -manifolds. We prove that if $F$ is of type (I) and $G$ is of type (II), then any natural differential operator of $F$ into $G$ is of order 0. We give examples of natural bundles of type (I) or of type (II). As an application of the main theorem we determine all natural differential operators between some natural bundles.

Natural transformations transforming functions and vector fields to functions on some natural bundles

Włodzimierz M. Mikulski (1992)

Mathematica Bohemica

Similarity:

A classification of natural transformations transforming functions (or vector fields) to functions on such natural bundles which are restrictions of bundle functors is given.