Calcul stochastique avec sauts sur une variété
Calculus of flows on convenient manifolds.
Calculus of flows on convenient manifolds
The study of diffeomorphism group actions requires methods of infinite dimensional analysis. Really convenient tools can be found in the Frölicher - Kriegl - Michor differentiation theory and its geometrical aspects. In terms of it we develop the calculus of various types of one parameter diffeomorphism groups in infinite dimensional spaces with smooth structure. Some spectral properties of the derivative of exponential mapping for manifolds are given.
Calculus of variations with differential forms
We study integrals of the form , where , is continuous and is a -form. We introduce the appropriate notions of convexity, namely ext. one convexity, ext. quasiconvexity and ext. polyconvexity. We study their relations, give several examples and counterexamples. We finally conclude with an application to a minimization problem.
Calculus on Lie algebroids, Lie groupoids and Poisson manifolds [Book]
C*-algebra of a differential groupoid
Calibrated geometries in Grassmann manifolds.
Cancellative semigroups on manifolds.
Canonical 1-forms on higher order adapted frame bundles
Let be a foliated -dimensional manifold with -dimensional foliation . Let be a finite dimensional vector space over . We describe all canonical (-invariant) -valued -forms on the -th order adapted frame bundle of .
Canonical differential structures of regular covectors
Canonical equivariant extensions using classical Hodge theory.
Canonical form on a groupoid related to regular prolongations of Lie groups
Canonical lift and exit law of the fundamental diffusion associated with a kleinian group
Canonical Lipschitz structures on compact Hilbert cube manifolds
Canonical nonlinear connections in the multi-time Hamilton geometry.
Canonical symplectic structures on the r-th order tangent bundle of a symplectic manifold.
We describe all canonical 2-forms Λ(ω) on the r-th order tangent bundle TrM = Jr0 (R;M) of a symplectic manifold (M, ω). As a corollary we deduce that all canonical symplectic structures Λ(ω) on TrM over a symplectic manifold (M, ω) are of the form Λ(ω) = Σrk=0 αkω(k) for all real numbers αk with αr ≠ 0, where ω(k) is the (k)-lift (in the sense of A. Morimoto) of ω to TrM.
Canonical tensor fields of type (p,0) on Weil bundles
We give a classification of canonical tensor fields of type (p,0) on an arbitrary Weil bundle over n-dimensional manifolds under the condition that n ≥ p. Roughly speaking, the result we obtain says that each such canonical tensor field is a sum of tensor products of canonical vector fields on the Weil bundle.
Canonical vector valued 1-forms on higher order adapted frame bundles over category of fibered squares
Let Y be a fibered square of dimension (m1, m2, n1, n2). Let V be a finite dimensional vector space over. We describe all 21,m2,n1,n2 - canonical V -valued 1-form Θ TPrA (Y) → V on the r-th order adapted frame bundle PrA(Y).
Caractérisation topologique de l'espace des fonctions dérivables
Caractérisation variationnelle globale des flots canoniques et de contact dans leurs groupes de difféomorphismes