1Department of Algebra and Geometry, Faculty of Mathematics and Informatics, University of Plovdiv, Plovdiv, Bulgaria; Department of Medical Physics and Biophysics, Faculty of Pharmacy, Medical University of Plovdiv, Plovdiv, Bulgaria 2Department of Algebra and Geometry, Faculty of Mathematics and Informatics, University of Plovdiv, Plovdiv, Bulgaria
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 69-79
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Mancho Manev; Veselina Tavkova; Mancho Manev; Veselina Tavkova. Almost paracontact almost paracomplex Riemannian manifolds as extensions of 2-dimensional space-forms. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 1, pp. 69-79. http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a5/
@article{AMUC_2022_91_1_a5,
author = {Mancho Manev and Veselina Tavkova and Mancho Manev and Veselina Tavkova},
title = { Almost paracontact almost paracomplex {Riemannian} manifolds as extensions of 2-dimensional space-forms},
journal = {Acta mathematica Universitatis Comenianae},
pages = {69--79},
year = {2022},
volume = {91},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a5/}
}
TY - JOUR
AU - Mancho Manev
AU - Veselina Tavkova
AU - Mancho Manev
AU - Veselina Tavkova
TI - Almost paracontact almost paracomplex Riemannian manifolds as extensions of 2-dimensional space-forms
JO - Acta mathematica Universitatis Comenianae
PY - 2022
SP - 69
EP - 79
VL - 91
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a5/
ID - AMUC_2022_91_1_a5
ER -
%0 Journal Article
%A Mancho Manev
%A Veselina Tavkova
%A Mancho Manev
%A Veselina Tavkova
%T Almost paracontact almost paracomplex Riemannian manifolds as extensions of 2-dimensional space-forms
%J Acta mathematica Universitatis Comenianae
%D 2022
%P 69-79
%V 91
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2022_91_1_a5/
%F AMUC_2022_91_1_a5
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.
