Complex almost contact structures in a complex contact manifold

Contact structures on the indicatrix of a complex Finsler space

Continuing the study of the complex indicatrix IzM , approached as an embedded CR hypersurface on the punctual holomorphic tangent bundle of a complex Finsler space, we study in this paper the almost contact structures that can be introduced on IzM . The Levi form and characteristic direction of the complex indicatrix are given and the CR distributions integrability is studied. Using these we c...

Superminimal fibres in an almost contact metric submersion

The superminimality of the fibres of an almost contact metric submersion is used to study the integrability of the horizontal distribution and the structure of the total space.

Remarks on Complex Contact Manifolds

1. Statement of results. Let M be a complex manifold of complex dimension 2w + l. Let { Ui} be an open covering of M. We call M a complex contact manifold if the following conditions are satisfied: (1) On each [/,there exists a holomorphic 1-form w,such that Wi/\(do3i)n is different from zero at every point of Ui. (2) If UiC\Uj is nonempty, then there exists a nonvanishing holomorphic function ...

Complex Contact and Lift Transformations

We study mappings from sets of real variables into complex variables, which extend features of lift and contact transformations between real variables that we explored in a previous paper. In particular the relationship between lifts in R and the CauchyRiemann equations for functions of n complex variables is discussed. Explicit examples are given to illustrate the anatomy of such transformatio...

A Note on Homogeneous Complex Contact Manifolds