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
Caractéristiques locales des semi-martingales et changements de probabilités
Caristi's fixed point theorem and its equivalences in fuzzy metric spaces
In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided.
Caristi's fixed point theorem in probabilistic metric spaces
In this work, we define a partial order on probabilistic metric spaces and establish some new Caristi's fixed point theorems and Ekeland's variational principle for the class of (right) continuous and Archimedean t-norms. As an application, a partial answer to Kirk's problem in metric spaces is given.
Cartesian currents in the calculus of variations
Catastrophe models and the expansion method: A review of issues and an application to the econometric modeling of economic growth.