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
Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two
Two-dimensional integrable differential calculi for classes of Ore extensions of the polynomial ring and the Laurent polynomial ring in one variable are constructed. Thus it is concluded that all affine pointed Hopf domains of Gelfand-Kirillov dimension two which are not polynomial identity rings are differentially smooth.
Differential-geometric and variational background of classical gauge field theories.
Differentiation in Normed Spaces
In this article we formalized the Fréchet differentiation. It is defined as a generalization of the differentiation of a real-valued function of a single real variable to more general functions whose domain and range are subsets of normed spaces [14].
Differentiation of measures.
Différentielles non commutatives et théorie de Galois différentielle ou aux différences
Differenziabilità delle funzioni convesse a valori in spazi di successioni
Diffusion on the total space of a vector bundle.
Dirac and Plateau billiards in domains with corners
Groping our way toward a theory of singular spaces with positive scalar curvatures we look at the Dirac operator and a generalized Plateau problem in Riemannian manifolds with corners. Using these, we prove that the set of C 2-smooth Riemannian metrics g on a smooth manifold X, such that scalg(x) ≥ κ(x), is closed under C 0-limits of Riemannian metrics for all continuous functions κ on X. Apart from that our progress is limited but we formulate many conjectures. All along, we emphasize geometry,...
Dirac operator on the standard Podleś quantum sphere
Using principles of quantum symmetries we derive the algebraic part of the real spectral triple data for the standard Podleś quantum sphere: equivariant representation, chiral grading γ, reality structure J and the Dirac operator D, which has bounded commutators with the elements of the algebra and satisfies the first order condition.
Dirac operators, conformal transformations and aspects of classical harmonic analysis.
Dirac operators on hypersurfaces
In this paper some relation among the Dirac operator on a Riemannian spin-manifold , its projection on some embedded hypersurface and the Dirac operator on with respect to the induced (called standard) spin structure are given.