Lie groups as 3-dimensional almost paracontact almost paracomplex Riemannian manifolds
Almost paracontact almost paracomplex Riemannian manifolds of the lowest dimension 3 are considered. Such structures are constructed on a family of Lie groups and the obtained manifolds are studied. Curvature properties of these manifolds are investigated. An example is commented as support of the obtained results.
KeywordsAlmost paracontact structure almost paracomplex structure Riemannian metric Lie group Lie algebra curvature properties
Mathematics Subject Classification53C15 53C25
The authors were supported by Projects MU19-FMI-020 and FP19-FMI-002 of the Scientific Research Fund, University of Plovdiv Paisii Hilendarski, Bulgaria.
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