Almost contact manifolds with \(B\)-metric. (English) Zbl 0830.53031

Ganchev, G.; Mihova, V.; Gribachev, K.

Math. Balk., New Ser. 7, No. 3-4, 261-276 (1993).

Summary: In this paper eleven basic classes of almost contact manifolds with \(B\)- metric are introduced. Examples of almost contact manifolds with \(B\)- metric are constructed on odd-dimensional spheres.

MSC:

53C15

General geometric structures on manifolds (almost complex, almost product structures, etc.)

Keywords:

almost contact manifolds; \(B\)-metric; odd-dimensional spheres