Add to ORKGLet \(F\) be a bundle functor on the category of all fibred manifolds and fibred maps. Let \(\Gamma\) be a general connection in a fibred manifold \(\mathrm{pr}:Y\to M\) and \(\nabla\) be a classical linear connection on \(M\). We prove that the well-known general connection \(\mathcal{F}(\Gamma,\nabla)\) in \(FY\to M\) is canonical with respect to fibred maps and with respect to natural transformations of bundle functors
Connections and the space of connections on a fibred manifold are described. Three different means o...
AbstractA generalised notion of connection on a fibre bundle E over a manifold M is presented. These...
summary:For a vector bundle functor $H:\Cal M f\to \Cal V\Cal B$ with the point property we prove th...
summary:Let $G$ be a bundle functor of order $(r,s,q)$, $s\geq r\leq q$, on the category $\Cal F\Cal...
summary:For a vector bundle functor $H:\Cal M f\to \Cal V\Cal B$ with the point property we prove th...
summary:We classify all bundle functors $G$ admitting natural operators transforming connections on ...
Let \(F\) be a bundle functor on the category of all fibred manifolds and fibred maps. Let \(\Gamma\...
We characterize gauge bundle functors : Ƥ Bₘ() → M which admit a construction of a classical linear...
summary:We classify all bundle functors $G$ admitting natural operators transforming connections on ...
summary:We classify all bundle functors $G$ admitting natural operators transforming connections on ...
summary:Let $G$ be a bundle functor of order $(r,s,q)$, $s\geq r\leq q$, on the category $\Cal F\Cal...
summary:Let $G$ be a bundle functor of order $(r,s,q)$, $s\geq r\leq q$, on the category $\Cal F\Cal...
summary:One studies the flow prolongation of projectable vector fields with respect to a bundle func...
summary:All natural operations transforming linear connections on the tangent bundle of a fibred man...
summary:We consider the problem of prolongating general connections on arbitrary fibered manifolds w...
Connections and the space of connections on a fibred manifold are described. Three different means o...
AbstractA generalised notion of connection on a fibre bundle E over a manifold M is presented. These...
summary:For a vector bundle functor $H:\Cal M f\to \Cal V\Cal B$ with the point property we prove th...
summary:Let $G$ be a bundle functor of order $(r,s,q)$, $s\geq r\leq q$, on the category $\Cal F\Cal...
summary:For a vector bundle functor $H:\Cal M f\to \Cal V\Cal B$ with the point property we prove th...
summary:We classify all bundle functors $G$ admitting natural operators transforming connections on ...
Let \(F\) be a bundle functor on the category of all fibred manifolds and fibred maps. Let \(\Gamma\...
We characterize gauge bundle functors : Ƥ Bₘ() → M which admit a construction of a classical linear...
summary:We classify all bundle functors $G$ admitting natural operators transforming connections on ...
summary:We classify all bundle functors $G$ admitting natural operators transforming connections on ...
summary:Let $G$ be a bundle functor of order $(r,s,q)$, $s\geq r\leq q$, on the category $\Cal F\Cal...
summary:Let $G$ be a bundle functor of order $(r,s,q)$, $s\geq r\leq q$, on the category $\Cal F\Cal...
summary:One studies the flow prolongation of projectable vector fields with respect to a bundle func...
summary:All natural operations transforming linear connections on the tangent bundle of a fibred man...
summary:We consider the problem of prolongating general connections on arbitrary fibered manifolds w...
Connections and the space of connections on a fibred manifold are described. Three different means o...
AbstractA generalised notion of connection on a fibre bundle E over a manifold M is presented. These...
summary:For a vector bundle functor $H:\Cal M f\to \Cal V\Cal B$ with the point property we prove th...