Diffeomorphism groups on noncompact manifolds
Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces
Diffeomorphisms conformal on distributions
Let f:M → N be a local diffeomorphism between Riemannian manifolds. We define the eigenvalues of f to be the eigenvalues of the self-adjoint, positive definite operator df*df:TM → TM, where df* denotes the operator adjoint to df. We show that if f is conformal on a distribution D, then , where denotes the eigenspace corresponding to the coefficient of conformality λ of f. Moreover, if f has distinct eigenvalues, then there is locally a distribution D such that f is conformal on D if and only...
Diffeomorphisms of the Circle and Geodesic Fields on Riemannian Surfaces of Genus One.
Diffeomorphisms of the circle and the based stochastic loop space
Diffeotopically Trivial Periodic Diffeomorphisms.
Differentiability and rigidity of Möbius groups.
Differentiability points of a distance function
Differentiable manifolds with generalized boundary
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.