On the order of natural differential operators and liftings
On the permutation products of manifolds.
On the Polynomial Cohomology of Affine Manifolds.
On the projective structure of a real hypersurface in C...
On the Prolongations of Differentiable Distributions
On the pullback equation
On the Real Spectrum of a Ring of Global Analytic Functions
On the reducibility of connections on the prolongations of vector bundles
On the relative Nash approximation of analytic maps.
On the structure function of a -structure
On the tangent bundle and cotangent bundle of a differential space
On the Topology of Riemann Spaces of Quasi-constant Curvature
On the torsion of linear higher order connections
For a linear r-th order connection on the tangent bundle we characterize geometrically its integrability in the sense of the theory of higher order G-structures. Our main tool is a bijection between these connections and the principal connections on the r-th order frame bundle and the comparison of the torsions under both approaches.
On the transversal distribution and the complete figure in the second order multiple integral problem in the calculus of variations.
On the transversal distribution and the complete figure in the second order multiple integral problem in the calculus of variations.
On the underlying lower order bundle functors
For every bundle functor we introduce the concept of subordinated functor. Then we describe subordinated functors for fiber product preserving functors defined on the category of fibered manifolds with -dimensional bases and fibered manifold morphisms with local diffeomorphisms as base maps. In this case we also introduce the concept of the underlying functor. We show that there is an affine structure on fiber product preserving functors.
On the uniqueness of some differential invariants: , ,
On the uniqueness of the -dimensional supertorus associated to a nontrivial representation of its underlying 2-torus, and having nontrivial odd brackets.
On the uniqueness of the analyticity of a proper G-action.
On the variational calculus in fibered-fibered manifolds
In this paper we extend the variational calculus to fibered-fibered manifolds. Fibered-fibered manifolds are surjective fibered submersions π:Y → X between fibered manifolds. For natural numbers s ≥ r ≤ q with r ≥ 1 we define (r,s,q)th order Lagrangians on fibered-fibered manifolds π:Y → X as base-preserving morphisms . Then similarly to the fibered manifold case we define critical fibered sections of Y. Setting p=max(q,s) we prove that there exists a canonical “Euler” morphism of λ satisfying...