Almost paracontact almost paracomplex Riemannian manifolds as extensions of 2-dimensional space-forms
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Abstract
Almost paracontact Riemannian manifolds of the lowest dimension are studied, whose paracontact distributions are equipped with an almost paracomplex structure. These manifolds are constructed as a product of a real line and a 2-dimensional Riemannian space-form. Their metric is obtained in two ways: as a cone metric and as a hyperbolic extension of the metric of the underlying paracomplex 2-manifold. The resulting manifolds are studied and characterised in terms of the used classification and their curvature properties.
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Manev, M., & Tavkova, V.
(2022).
Almost paracontact almost paracomplex Riemannian manifolds as extensions of 2-dimensional space-forms.
Acta Mathematica Universitatis Comenianae, 91(1), 69-79.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/1733/921
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