Some results on pseudosymmetric normal paracontact metric manifolds-Reference-Cited by-同舟云学术

Some results on pseudosymmetric normal paracontact metric manifolds

Published:2022-12-30 Issue:4 Volume:71 Page:1044-1057
ISSN:1303-5991
Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
language:en
Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

Author:

ATÇEKEN Mehmet¹,MERT Tuğba²

Affiliation:

1. AKSARAY UNIVERSITY

2. CUMHURIYET UNIVERSITY

Abstract

TIn this article, the M-projective and Weyl curvature tensors on a normal paracontact metric manifold are discussed. For normal paracontact metric manifolds, pseudosymmetric cases are investigated and some interesting results are obtained. We show that a semisymmetric normal paracontact manifold is of constant sectional curvature. We also obtain that a pseudosymmetric normal paracontact metric manifold is an $\eta$-Einstein manifold. Finally, we support our topic with an example.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Subject

General Medicine

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