summary:The author considers the problem to give explicit descriptions for several types of bundles on smooth manifolds, naturally related with the bundle of $k$-dimensional velocities, or $k$-jets. In fact, this kind of bundles are very natural objects in differential geometry, mechanics and Lagrangian dynamics. For this the author considers Weil bundles that arose from Weil algebras. If a suitable combinatorial data is provided by a simplicial coloured structure, then the author describes the corresponding Weil bundle and its Weil algebra
We give an explicit description and calculate the dimension of the vector space of linear natural l...
Given a double vector bundle D -> M, we define a bigraded bundle of algebras W(D) -> M called the We...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
summary:The author considers the problem to give explicit descriptions for several types of bundles ...
summary:The author considers the problem to give explicit descriptions for several types of bundles ...
The Weil bundle Tdouble-struck A signMn of an n-dimensional smooth manifold Mn determined by a local...
The Weil bundle Tdouble-struck A signMn of an n-dimensional smooth manifold Mn determined by a local...
The Weil bundle Tdouble-struck A signMn of an n-dimensional smooth manifold Mn determined by a local...
The Weil bundle Tdouble-struck A signMn of an n-dimensional smooth manifold Mn determined by a local...
summary:Given a Weil algebra $A$ and a smooth manifold $M$, we prove that the set $J^AM$ of kernels ...
summary:In this paper a Weil approach to quasijets is discussed. For given manifolds $M$ and $N$, a ...
summary:First we deduce some general results on the covariant form of the natural transformations of...
summary:First we deduce some general results on the covariant form of the natural transformations of...
The structure of Weil algebras associated to functors of third order semiholonomic velocities is com...
We give an explicit description and calculate the dimension of the vector space of linear natural l...
We give an explicit description and calculate the dimension of the vector space of linear natural l...
Given a double vector bundle D -> M, we define a bigraded bundle of algebras W(D) -> M called the We...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
summary:The author considers the problem to give explicit descriptions for several types of bundles ...
summary:The author considers the problem to give explicit descriptions for several types of bundles ...
The Weil bundle Tdouble-struck A signMn of an n-dimensional smooth manifold Mn determined by a local...
The Weil bundle Tdouble-struck A signMn of an n-dimensional smooth manifold Mn determined by a local...
The Weil bundle Tdouble-struck A signMn of an n-dimensional smooth manifold Mn determined by a local...
The Weil bundle Tdouble-struck A signMn of an n-dimensional smooth manifold Mn determined by a local...
summary:Given a Weil algebra $A$ and a smooth manifold $M$, we prove that the set $J^AM$ of kernels ...
summary:In this paper a Weil approach to quasijets is discussed. For given manifolds $M$ and $N$, a ...
summary:First we deduce some general results on the covariant form of the natural transformations of...
summary:First we deduce some general results on the covariant form of the natural transformations of...
The structure of Weil algebras associated to functors of third order semiholonomic velocities is com...
We give an explicit description and calculate the dimension of the vector space of linear natural l...
We give an explicit description and calculate the dimension of the vector space of linear natural l...
Given a double vector bundle D -> M, we define a bigraded bundle of algebras W(D) -> M called the We...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
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