Weak Quasi-Contact Metric Manifolds and New Characteristics of K-Contact and Sasakian Manifolds

Autor:	Vladimir Rovenski
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	quasi-contact metric manifold K-contact manifold Sasakian manifold Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 20, p 3230 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12203230
Popis:	Quasi-contact metric manifolds (introduced by Y. Tashiro and then studied by several authors) are a natural extension of contact metric manifolds. Weak almost-contact metric manifolds, i.e., where the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, have been defined by the author and R. Wolak. In this paper, we study a weak analogue of quasi-contact metric manifolds. Our main results generalize some well-known theorems and provide new criterions for K-contact and Sasakian manifolds in terms of conditions on the curvature tensor and other geometric objects associated with the weak quasi-contact metric structure.
Databáze:	Directory of Open Access Journals
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