Add to ORKGIn this paper we will establish the affine bundle theorem in our synthetic approach to jet bundles in terms of infinitesimal spaces $D_{n}$\u27s. We will then compare these affine bundles with the corresponding ones constructed in our previous synthetic approach to jet bundles in terms of infinitesimal spaces $D^{n}$\u27s both in the general microlinear setting and in the finite-dimensional setting
In our previous paper entitled "Axiomatic differential geometry -towards model categories of differe...
summary:For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the na...
AbstractLet A be a subvariety of affine space An whose irreducible components are d-dimensional line...
We show that the category of affine bundles over a smooth manifold M is equivalent to that of affin...
The affine structure of jets of sections of a fibred manifold is reviewed. Intrinsic and coordinate ...
In our previous papers (Nishimura [2001 and 2003]) we dealt with jet bundles from a synthetic perch ...
EnThe jet spaces of maps $M \rightarrow N$ and of the sections of a bundle $\eta \equiv (E,p,M)$ are...
Three distinct approaches to jet bundles are presented.Algebra Geometry Mathematical Physics (AGMP-7...
In our previous papers [Far East Journal of Mathematical Sciences, 35(2009), 211-223] and [Internati...
AbstractThe Jacobian conjecture in dimension two holds true if a conjecture, which we call below the...
Abstract. Suppose p is the generic type of a differential-algebraic jet space to a finite dimensiona...
AbstractWe describe some differential-geometric structures in combinatorial terms: namely affine con...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
Every affine space A can be canonically immersed as a hyperplane into a vector space Â, which is ca...
AbstractThe Vénéreau polynomialsvn≔y+xn(xz+y(yu+z2)),n⩾1,on AC4 have all fibers isomorphic to the af...
In our previous paper entitled "Axiomatic differential geometry -towards model categories of differe...
summary:For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the na...
AbstractLet A be a subvariety of affine space An whose irreducible components are d-dimensional line...
We show that the category of affine bundles over a smooth manifold M is equivalent to that of affin...
The affine structure of jets of sections of a fibred manifold is reviewed. Intrinsic and coordinate ...
In our previous papers (Nishimura [2001 and 2003]) we dealt with jet bundles from a synthetic perch ...
EnThe jet spaces of maps $M \rightarrow N$ and of the sections of a bundle $\eta \equiv (E,p,M)$ are...
Three distinct approaches to jet bundles are presented.Algebra Geometry Mathematical Physics (AGMP-7...
In our previous papers [Far East Journal of Mathematical Sciences, 35(2009), 211-223] and [Internati...
AbstractThe Jacobian conjecture in dimension two holds true if a conjecture, which we call below the...
Abstract. Suppose p is the generic type of a differential-algebraic jet space to a finite dimensiona...
AbstractWe describe some differential-geometric structures in combinatorial terms: namely affine con...
summary:Let $M$ be an $m$-dimensional manifold and $A=\mathbb D^r_k /I=\mathbb R \oplus N_A$ a Weil ...
Every affine space A can be canonically immersed as a hyperplane into a vector space Â, which is ca...
AbstractThe Vénéreau polynomialsvn≔y+xn(xz+y(yu+z2)),n⩾1,on AC4 have all fibers isomorphic to the af...
In our previous paper entitled "Axiomatic differential geometry -towards model categories of differe...
summary:For natural numbers $r$ and $n\ge 2$ a complete classification of natural affinors on the na...
AbstractLet A be a subvariety of affine space An whose irreducible components are d-dimensional line...