Geometry of Harmonic Nearly Trans-Sasakian Manifolds

Autor:	Aligadzhi R. Rustanov
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	nearly trans-Sasakian structure linear expansion almost Hermitian structure harmonic nearly trans-Sasakian structure Kenmotsu structure Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 8, p 744 (2023)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms12080744
Popis:	This paper considers a class of nearly trans-Sasakian manifolds. The local structure of nearly trans-Sasakian structures with a closed contact form and a closed Lee form is obtained. It is proved that the class of nearly trans-Sasakian manifolds with a closed contact form and a closed Lee form coincides with the class of almost contact metric manifolds with a closed contact form locally conformal to the closely cosymplectic manifolds. A wide class of harmonic nearly trans-Sasakian manifolds has been identified (i.e., nearly trans-Sasakian manifolds with a harmonic contact form) and an exhaustive description of the manifolds of this class is obtained. Also, examples of harmonic nearly trans-Sasakian manifolds are given.
Databáze:	Directory of Open Access Journals
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