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On constructing almost complex Norden metric structures
AIMS Mathematics 2022, 7(10): 17942-17953
Published: 15 October 2022
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For a given almost contact Norden metric structure on a smooth manifold M, one can obtain an almost complex Norden metric structure on M × R . In this work, we study this construction in details and give the relations between the classes of these structures. Furthermore, we give examples of almost complex Norden metric structures of which the existence are guaranteed by the results of the paper.

Open Access Research Article Issue
Some results on almost paracontact paracomplex Riemannian manifolds
AIMS Mathematics 2025, 10(5): 10764-10786
Published: 15 May 2025
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In this study, a class of Riemannian almost product manifolds is obtained by the warped product of almost paracontact paracomplex Riemannian manifolds with R . The curvature properties of the almost product manifolds are studied. Then, normal almost paracontact paracomplex Riemannian manifolds are considered. It is proven that the almost paracontact paracomplex Riemannian manifolds are normal if and only if the almost product manifolds obtained by the warped product are integrable. In addition, examples of almost paracont paracomplex Riemannian manifolds are given.

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