| Title |
Classification of three-dimensional contact metric manifolds with almost-generalized Ƶ-solitons |
| Authors |
Azami, Shahroud ; Jafar, Mehdi ; Otera, Daniele Ettore |
| DOI |
10.3390/math13233765 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2025, vol. 13, iss. 23, art. no. 3765, p. [1-12].. eISSN 2227-7390 |
| Keywords [eng] |
generalized Ƶ-solitons ; Sasakian manifold ; Lie group ; contact metric structure ; isometry |
| Abstract [eng] |
This work investigates the classification of three-dimensional complete contact metric manifolds that are non-Sasakian and satisfy a specific relation, focusing on those that support an almost-generalized Ƶ-soliton. In the scenario where 𝜎 is constant, we prove that if a generalized Ƶ-soliton satisfies a special condition, then it must be either an Einstein manifold or locally isometric to the Lie group 𝐸(1,1). Furthermore, we explore situations in which the potential vector field aligns with the Reeb vector field. We then provide the corresponding structural characterizations. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2025 |
| CC license |
|
