Paracontact metric manifold

Having as a model the metric contact case of V. Brınzanescu; R. Slobodeanu, we study two similar subjects in the paracontact (metric) geometry: Distributions that are invariant with respect to the structure endomorphism φ, the class of vector fields of holomorphic type. As examples we consider both the 3-dimensional case and the general dimensional case through a Heisenberg-type structure inspired also by contact geometry.

10p danhdanh27 07-01-2019 22 1   Download

In this paper, we first define the concept of paracontact semi-Riemannian submersions between almost paracontact metric manifolds, then we provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost paracontact structure of the total manifold.

15p tuongvidanh 06-01-2019 17 2   Download