Contact homology of toroidal manifolds. (Homologie de contact des variétés toroïdales.)
Contact Lie algebras of vector fields on the plane.
Contact manifolds, harmonic curvature tensor and -nullity distribution
In this paper we give first a classification of contact Riemannian manifolds with harmonic curvature tensor under the condition that the characteristic vector field belongs to the -nullity distribution. Next it is shown that the dimension of the -nullity distribution is equal to one and therefore is spanned by the characteristic vector field .
Contact normal submanifolds and contact generic normal submanifolds in Kenmotsu manifolds.
We study contact normal submanifolds and contact generic normal in Kenmotsu manifolds and in Kenmotsu space forms. Submanifolds mentioned above with certain conditions in forms space Kenmotsu are shown that they CR-manifolds, spaces of constant curvature, locally symmetric and Einsteinnian. Also, the non-existence of totally umbilical submanifolds in a Kenmotsu space form -1 is proven under a certain condition.
Contact Quantization: Quantum Mechanics = Parallel transport
Quantization together with quantum dynamics can be simultaneously formulated as the problem of finding an appropriate flat connection on a Hilbert bundle over a contact manifold. Contact geometry treats time, generalized positions and momenta as points on an underlying phase-spacetime and reduces classical mechanics to contact topology. Contact quantization describes quantum dynamics in terms of parallel transport for a flat connection; the ultimate goal being to also handle quantum systems in terms...
Contact structures on (n-1)-connected (2n+1)-manifolds
Contact topology and the structure of 5-manifolds with
We prove a structure theorem for closed, orientable 5-manifolds with fundamental group and second Stiefel-Whitney class equal to zero on . This structure theorem is then used to construct contact structures on such manifolds by applying contact surgery to fake projective spaces and certain -quotients of .
Contact transformation of a presymplectic form with quasi-Sasakian structure.
Contacting helicoidal surfaces with helix edges. (Berührende Schraubflächen mit Schraublinienkanten.)
Continued fractions on the Heisenberg group
We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several surprising analogs of classical formulas about continued fractions.
Continuity Estimates for Solutions to the Prescribed-Curvature Dirichlet Problem.
Continuity of liftings
Continuity of Minimal Surfaces with Piecewise Smooth Free Boundaries.
Continuity of the bending map
The bending map of a hyperbolic -manifold maps a convex cocompact hyperbolic metric on a -manifold with boundary to its bending measured geodesic lamination. As proved in [KeS] and [KaT], this map is continuous. In the present paper we study the extension of this map to the space of geometrically finite hyperbolic metrics. We introduce a relationship on the space of measured geodesic laminations and show that the quotient map obtained from the bending map is continuous.
Continuity of the identity embedding of Musielak-Orlicz sequence spaces
Continuity properties of the injectivity radius function
Continuous families of isospectral metrics on simply connected manifolds.
Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature.
Contraction semigroups and representations.
Contractions of to the Heisenberg group and Berezin calculus. (Contraction de vers le groupe de Heisenberg et calcul de Berezin.)