Open Access
Research Article
Almost Kenmotsu Manifolds Admitting Certain Critical Metric
*Dibakar DeyCorresponding authordeydibakar3@gmail.comDepartment of Pure Mathematics35 Ballygunge Circular RoadUniversity of CalcuttaKolkata, West Bengal, 700019, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 24 Mar 2022
- Accepted:
- 12 Apr 2022
- Published Online:
- 13 Nov 2022
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- 1726037X.2022.2142356
- Pages:
- 299–309
Abstract
The object of this offering article is to introduce the notion of *- Miao-Tam critical equation on almost contact metric manifolds and it is studied on almost Kenmotsu manifolds with some nullity condition. It is proved that if the metric of a (2n + 1)-dimensional (k, µ)undefined-almost Kenmotsu manifold (M, g) satisfies the *-Miao-Tam critical equation, then the manifold (M, g) is *-Ricci flat and locally isometric to a product space. Finally, the result is verified by an example.
Keywords
Subject Classifications
53D1535Q51
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