Displaying similar documents to “Jet manifold associated to a Weil bundle”

Contact elements on fibered manifolds

Ivan Kolář, Włodzimierz M. Mikulski (2003)

Czechoslovak Mathematical Journal

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For every product preserving bundle functor T μ on fibered manifolds, we describe the underlying functor of any order ( r , s , q ) , s ≥ r ≤ q . We define the bundle K k , l r , s , q Y of ( k , l ) -dimensional contact elements of the order ( r , s , q ) on a fibered manifold Y and we characterize its elements geometrically. Then we study the bundle of general contact elements of type μ . We also determine all natural transformations of K k , l r , s , q Y into itself and of T ( K k , l r , s , q Y ) into itself and we find all natural operators lifting projectable vector fields and horizontal...

Natural T -functions on the cotangent bundle of a Weil bundle

Jiří M. Tomáš (2004)

Czechoslovak Mathematical Journal

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A natural T -function on a natural bundle F is a natural operator transforming vector fields on a manifold M into functions on F M . For any Weil algebra A satisfying dim M ≥ w i d t h ( A ) + 1 we determine all natural T -functions on T * T A M , the cotangent bundle to a Weil bundle T A M .

On the space of maps inducing isomorphic connections

T. R. Ramadas (1982)

Annales de l'institut Fourier

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Let ω be the universal connection on the bundle E U ( n ) → B U ( n ) . Given a principal U ( n ) -bundle P → M with connection A , we determine the homotopy type of the space of maps ϕ of M into B U ( n ) such that ( ϕ + E U ( n ) , ϕ + ω ) is isomorphic to ( P , A ) . Here ϕ + denotes pull-back.