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Lie groups as 3-dimensional almost contact B-metric manifolds. (English) Zbl 1327.53030

The authors study almost contact B-metric structures on 3-dimensional Lie groups. Some existence results and geometric characteristics for these manifolds are obtained.

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
53D15 Almost contact and almost symplectic manifolds
53C30 Differential geometry of homogeneous manifolds
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