Add to ORKGTwo natural means are provided to lift a distribution from a manifold to its tangent bundle, and they are shown to agree if and only if the original distribution is integrable. Two special cases, the case when the manifold is the total space of a vector bundle, and the case when the manifold is the total space of a fibration over R, are dealt with in particular. For the latter case, the two constructions interact with the affine structure of the corresponding jet bundles in the “same ” way
Abstract. In Riemannian geometry many geometric objects are described as sections of fibre bundles. ...
Abstract. We define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold an...
EnThe jet spaces of maps $M \rightarrow N$ and of the sections of a bundle $\eta \equiv (E,p,M)$ are...
Distributions, i.e., subsets of tangent bundles formed by piecing together subspaces of tangent spac...
summary:A classification of natural liftings of foliations to the tangent bundle is given
Abstract. Here we consider a generalized flag manifold F = U/K, and a differential structure F which...
For a canonical foliation on a manifold MA over a local algebra, the double-struck A-affine horizont...
Sufficient conditions for a manifold M to me diffeomorphic to the first jet-extension J_1(N) of a fi...
summary:Smooth bundles, whose fibres are distribution spaces, are introduced according to the notion...
This note surveys some results on the geometric structure on the tangent bundle and cotangent bundle...
We study lift metrics and lift connections on the tangent bundle $TM$ of a Riemannian manifold $(M,g...
The affine structure of jets of sections of a fibred manifold is reviewed. Intrinsic and coordinate ...
summary:Let $L$ be an almost Dirac structure on a manifold $M$. In [2] Theodore James Courant define...
Motivated by nonholonomic mechanics, we investigate various aspects of the interplay of an affine co...
summary:All natural operations transforming linear connections on the tangent bundle of a fibred man...
Abstract. In Riemannian geometry many geometric objects are described as sections of fibre bundles. ...
Abstract. We define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold an...
EnThe jet spaces of maps $M \rightarrow N$ and of the sections of a bundle $\eta \equiv (E,p,M)$ are...
Distributions, i.e., subsets of tangent bundles formed by piecing together subspaces of tangent spac...
summary:A classification of natural liftings of foliations to the tangent bundle is given
Abstract. Here we consider a generalized flag manifold F = U/K, and a differential structure F which...
For a canonical foliation on a manifold MA over a local algebra, the double-struck A-affine horizont...
Sufficient conditions for a manifold M to me diffeomorphic to the first jet-extension J_1(N) of a fi...
summary:Smooth bundles, whose fibres are distribution spaces, are introduced according to the notion...
This note surveys some results on the geometric structure on the tangent bundle and cotangent bundle...
We study lift metrics and lift connections on the tangent bundle $TM$ of a Riemannian manifold $(M,g...
The affine structure of jets of sections of a fibred manifold is reviewed. Intrinsic and coordinate ...
summary:Let $L$ be an almost Dirac structure on a manifold $M$. In [2] Theodore James Courant define...
Motivated by nonholonomic mechanics, we investigate various aspects of the interplay of an affine co...
summary:All natural operations transforming linear connections on the tangent bundle of a fibred man...
Abstract. In Riemannian geometry many geometric objects are described as sections of fibre bundles. ...
Abstract. We define the Liouville distribution on the tangent bundle of a pseudo-Finsler manifold an...
EnThe jet spaces of maps $M \rightarrow N$ and of the sections of a bundle $\eta \equiv (E,p,M)$ are...