Add to ORKGWe describe all lₘ͵ₙ-natural operators lifting infinitesimal automorphisms on foliated ( + )-dimensional manifolds (,) with n-dimensional foliations intovector fields () on the r-th order adapted frame bundle Pͬ(,). Next, we describe all lₘ͵ₙ-natural affinors on Pͬ(,).peerReviewe
summary:The author proves that for a manifold $M$ of dimension greater than 2 the sets of all natura...
summary:The author studies relations between the following two types of natural operators: 1. Natura...
summary:For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the na...
summary:For natural numbers $r$ and $n$ and a real number $a$ we construct a natural vector bundle $...
AbstractInfinitesimal natural and gauge-natural lifts are defined as special “systems” of vector fie...
summary:The author studies the problem how a map $L:M\to\bbfR$ on an $n$-dimensional manifold $M$ ca...
We extend the notion of a natural fibre bundle by requiring diffeomorphisms of the base to lift to a...
summary:All natural affinors on the $r$-th order cotangent bundle $T^{r*}M$ are determined. Basic af...
summary:We prove that the problem of finding all ${\mathcal {M} f_m}$-natural operators ${C\colon Q\...
summary:Let $(M,\mathcal{F})$ be a foliated $m+n$-dimensional manifold $M$ with $n$-dimensional foli...
summary:For integers $r\ge 2$ and $n\ge 2$ a complete classification of all natural operators $A:T_{...
summary:Let $F_1$ be a natural bundle of order $r_1$; a basis of the $s$-th order differential opera...
summary:Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields...
Abstract. Let (M,F) be a foliated m + n-dimensional manifold M with n-dimensional foliation F. Let V...
summary:A classification of natural transformations transforming vector fields on $n$-manifolds into...
summary:The author proves that for a manifold $M$ of dimension greater than 2 the sets of all natura...
summary:The author studies relations between the following two types of natural operators: 1. Natura...
summary:For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the na...
summary:For natural numbers $r$ and $n$ and a real number $a$ we construct a natural vector bundle $...
AbstractInfinitesimal natural and gauge-natural lifts are defined as special “systems” of vector fie...
summary:The author studies the problem how a map $L:M\to\bbfR$ on an $n$-dimensional manifold $M$ ca...
We extend the notion of a natural fibre bundle by requiring diffeomorphisms of the base to lift to a...
summary:All natural affinors on the $r$-th order cotangent bundle $T^{r*}M$ are determined. Basic af...
summary:We prove that the problem of finding all ${\mathcal {M} f_m}$-natural operators ${C\colon Q\...
summary:Let $(M,\mathcal{F})$ be a foliated $m+n$-dimensional manifold $M$ with $n$-dimensional foli...
summary:For integers $r\ge 2$ and $n\ge 2$ a complete classification of all natural operators $A:T_{...
summary:Let $F_1$ be a natural bundle of order $r_1$; a basis of the $s$-th order differential opera...
summary:Let $A$ be a Weil algebra. The bijection between all natural operators lifting vector fields...
Abstract. Let (M,F) be a foliated m + n-dimensional manifold M with n-dimensional foliation F. Let V...
summary:A classification of natural transformations transforming vector fields on $n$-manifolds into...
summary:The author proves that for a manifold $M$ of dimension greater than 2 the sets of all natura...
summary:The author studies relations between the following two types of natural operators: 1. Natura...
summary:For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the na...