Construction of slant immersions. II.
Contact 3-manifolds twenty years since J. Martinet's work
The paper gives an account of the recent development in 3-dimensional contact geometry. The central result of the paper states that there exists a unique tight contact structure on . Together with the earlier classification of overtwisted contact structures on 3-manifolds this result completes the classification of contact structures on .
Contact and equivalence of submanifolds of homogeneous spaces
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold.
Contact CR-doubly warped product submanifolds in Kenmotsu space forms.
Contact CR-Submanifolds of Kenmotsu Manifolds
2000 Mathematics Subject Classification: 53C15, 53C42.In this paper, we research some fundamental properties of contact CR-Submanifolds of a Kenmotsu manifold. We show that the anti-invariant distribution is always integrable and give a necessary and sufficient condition for the invariant distribution to be integrable. After then, properties of the induced structures on submanifold by almost contact metric structure on the ambient manifold are categorized. Finally, we give some results for contact...
Contact CR-submanifolds with parallel mean curvature vector of a Sasakian space form
The purpose of this paper is to study contact CR-submanifolds with nonvanishing parallel mean curvature vector immersed in a Sasakian space form. In §1 we state general formulas on contact CR-submanifolds of a Sasakian manifold, especially those of a Sasakian space form. §2 is devoted to the study of contact CR-submanifolds with nonvanishing parallel mean curvature vector and parallel f-structure in the normal bundle immersed in a Sasakian space form. Moreover, we suppose that the second fundamental...
Contact CR-warped product submanifolds in generalized Sasakian space forms.
Contact geometry and complex surfaces.
Contact homogeneity and envelopes of Riemannian metrics.
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 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 .
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 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 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.