Certain Curvature Conditions on $(k,\mu )$-Paracontact Metric Spaces

Autor: Tuğba Mert, Mehmet Atçeken, Süleyman Dirik, Pakize Uygun
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Communications in Advanced Mathematical Sciences, Vol 5, Iss 4, Pp 161-169 (2022)
Druh dokumentu: article
ISSN: 2651-4001
DOI: 10.33434/cams.1171815
Popis: The aim of this paper is to classify $(k,\mu)$-paracontact metric spaces satisfying certain curvature conditions. We present the curvature tensors of (k,$\mu $)-Paracontact manifold satisfying the conditions $R\cdot W_{6}=0$, $ R\cdot W_{7}=0$, $R\cdot W_{8}=0$ and $R\cdot W_{9}=0$. According these cases, $(k,\mu)$-Paracontact manifolds have been characterized. Also, several results are obtained.
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