On Lorentzian paracontact manifolds. (English) Zbl 0675.53035

Matsumoto, Koji

Bull. Yamagata Univ., Nat. Sci. 12, No. 2, 151-156 (1989).

The author introduces the notion of Lorentzian almost paracontact manifolds. Some special classes are considered. In particular, the sectional curvature of the class of Lorentzian para Sasakian manifolds is studied.

Reviewer: M.de León

MSC:

53C15	General geometric structures on manifolds (almost complex, almost product structures, etc.)
53B30	Local differential geometry of Lorentz metrics, indefinite metrics

Keywords:

Lorentzian almost paracontact manifolds; sectional curvature; Lorentzian para Sasakian manifolds