Almost paracontact almost paracomplex Riemannian manifolds as extensions of 2-dimensional space-forms

Mancho Manev; Veselina Tavkova

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arXiv · 2104.11053

Almost paracontact almost paracomplex Riemannian manifolds as extensions of 2-dimensional space-forms

Mancho Manev·Veselina Tavkova

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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 characterized in terms of the classification used and their curvature properties.

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BibTeX RIS

Mancho Manev, Veselina Tavkova. 2021-04-22. Almost paracontact almost paracomplex Riemannian manifolds as extensions of 2-dimensional space-forms. https://arxiv.org/abs/2104.11053

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