Article
2022
·
1 citations
Sasaki-Kenmotsu manifolds
Abstract
In the present paper, we introduce a new class of structures on an even dimensional differentiable Riemannian manifold which combines, well known in literature, the Sasakian and Kenmotsu structures simultaneously. The structure will be called a Sasaki-Kenmotsu structure by us. Firstly, we discuss the normality of the Sasaki-Kenmotsu structure and give some basic properties. Secondly, we present some important results concerning with the curvatures of the Sasaki-Kenmotsu manifold. Finally, we show the existence of the Sasaki-Kenmotsu structure by giving some concrete examples.
Keywords
f-structure
almost contact metric structure
Sasaki-Kenmotsu structure
WoS Categories
Mathematics
Citation
- Journal
- ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA
- Year
- 2022
- Volume
- 26
- Issue
- 1
- Pages
- 77-88
- ISSN
- 1406-2283
- eISSN
- 2228-4699
- DOI
- 10.12697/ACUTM.2022.26.06
- WoS UID
- WOS:000810997700006