Geometry of Harmonic Nearly Trans-Sasakian Manifolds-Reference-Cited by-同舟云学术

Geometry of Harmonic Nearly Trans-Sasakian Manifolds

Published:2023-07-28 Issue:8 Volume:12 Page:744
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Rustanov Aligadzhi R.¹^ORCID

Affiliation:

1. Department of Higher Mathematics, Institute of Digital Technologies and Modeling in Construction, Moscow State University of Civil Engineering, Moscow 129337, Russia

Abstract

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/8/744/pdf

Reference20 articles.

1. Kobayashi, S., and Nomizu, K. (1981). Fundamentals of Differential Geometry II, Wiley. (In Russian).

2. On the geometry of trans-Sasakian and almost trans-Sasakian manifolds;Kirichenko;Fundam. Prikl. Mat.,1997

3. New classes of almost contact metric structures;Oubina;Publ. Mat.,1985

4. The sixteen classes of almost Hermitian manifolds and their linear invariants;Gray;Ann. Math. Pure Ed. Appl.,1980

5. On the geometry of nearly trans-Sasakian manifolds;Rustanov;Turk. J. Math.,2023