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

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.)
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