Refine search
Actions for selected content:
1 results
Certain classification of almost Ricci-Bourguignon solitons in three-dimensional almost
$\alpha$-cosymplectic manifolds
- Part of
-
- Journal:
- Glasgow Mathematical Journal / Volume 68 / Issue 3 / September 2026
- Published online by Cambridge University Press:
- 31 March 2026, pp. 609-624
-
- Article
-
- You have access
- HTML
- Export citation
-
We classify almost Ricci–Bourguignon solitons on three-dimensional almost
$\alpha$-cosymplectic manifolds. We study almost Ricci-Bourguignon solitons on almost 
$\alpha$-cosymplectic manifolds, with an emphasis on their classification and geometric properties. Key results include soliton type characterization (shrinking, steady, expanding) via the parameter 
$\rho$ and conditions under which these solitons become Einstein. We also show that Ricci semi-symmetric manifolds with 
$\eta$-parallel tensors reduce to almost cosymplectic structures. A five-dimensional example of an almost contact manifold admitting a Ricci-Bourguignon soliton has been constructed. Also, Lie-group classifications in dimension three are obtained, which are almost RB transversal solitons on almost 
$\alpha$-cosymplectic manifolds.
