(k,μ)-Paracontact Manifolds and Their Curvature Classification

Autor:	UYGUN, Pakize
Rok vydání:	2022
Předmět:	(k μ)-Paracontact manifold η-Einstein manifold Riemannian curvature tensor Matematik General Medicine Mathematics
Zdroj:	Volume: 43, Issue: 3 460-467 Cumhuriyet Science Journal
ISSN:	2587-2680 2587-246X
DOI:	10.17776/csj.1108962
Popis:	The aim of this paper is to study (k,μ)-Paracontact metric manifold. We introduce the curvature tensors of a (k,μ)-paracontact metric manifold satisfying the conditions R⋅P_*=0, R⋅L=0, R⋅W_1=0, R⋅W_0=0 and R⋅M=0. According to these cases, (k,μ)-paracontact manifolds have been characterized such as η-Einstein and Einstein. We get the necessary and sufficient conditions of a (k,μ)-paracontact metric manifold to be η-Einstein. Also, we consider new conclusions of a (k,μ)-paracontact metric manifold contribute to geometry. We think that some interesting results on a (k,μ)-paracontact metric manifold are obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b3b69dc5b1f3c91dce890bf3b0c5587 https://doi.org/10.17776/csj.1108962 Zobrazit plný text záznamu