Differentiable maps into riemannian manifolds of constant stable osculating rank. II. (Frenet-Theory).
Differentiable maps into riemannian manifolds of constant stable osculating rank. I.
Differentiable monoids with smooth boundary.
Differentiable semigroups
Differentiable structure in a conjugate vector bundle of infinite dimension [Book]
Differential and geometric structure for the tangent bundle of a projective limit manifold
Differential calculi over quantum groups
An exposition is given of recent work of the author and others on the differential calculi that occur in the setting of compact quantum groups. The principal topics covered are twisted graded traces, an extension of Connes' cyclic cohomology, invariant linear functionals on covariant calculi and the Hodge, Dirac and Laplace operators in this setting. Some new results extending the classical de Rham theorem and Poincaré duality are also discussed.
Differential calculus on almost commutative algebras and applications to the quantum hyperplane
In this paper we introduce a new class of differential graded algebras named DG -algebras and present Lie operations on this kind of algebras. We give two examples: the algebra of forms and the algebra of noncommutative differential forms of a -algebra. Then we introduce linear connections on a -bimodule over a -algebra and extend these connections to the space of forms from to . We apply these notions to the quantum hyperplane.
Differential complex associated to closed differential forms of nonconstant rank.
Differential equations, Spencer cohomology, and computing resolutions.
Differential equations with constraints in jet bundles: Lagrangian and Hamiltonian systems.
Differential forms on manifolds with a polynomial structure
Differential forms with values in groups (preliminary report)
Differential geometry in the space of positive operators.
Differential geometry over the structure sheaf: a way to quantum physics
An idea for quantization by means of geometric observables is explained, which is a kind of the sheaf theoretical methods. First the formulation of differential geometry by using the structure sheaf is explained. The point of view to get interesting noncommutative observable algebras of geometric fields is introduced. The idea is to deform the algebra by suitable interaction structures. As an example of such structures the Poisson-structure is mentioned and this leads naturally to deformation...
Differential invariants of generic hyperbolic Monge-Ampère equations
In this paper basic differential invariants of generic hyperbolic Monge-Ampère equations with respect to contact transformations are constructed and the equivalence problem for these equations is solved.
Differential operators and flat connections on a Riemann surface.
Differential operators and -structures of higher order
Differential operators cononically associated to a conformal structure.
Differential pseudoconnections and field theories