We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A Solitonic Study of Riemannian Manifolds Equipped with a Semi-Symmetric Metric ξ -Connection.
- Authors
Haseeb, Abdul; Chaubey, Sudhakar Kumar; Mofarreh, Fatemah; Ahmadini, Abdullah Ali H.
- Abstract
The aim of this paper is to characterize a Riemannian 3-manifold M 3 equipped with a semi-symmetric metric ξ -connection ∇ ˜ with ρ -Einstein and gradient ρ -Einstein solitons. The existence of a gradient ρ -Einstein soliton in an M 3 admitting ∇ ˜ is ensured by constructing a non-trivial example, and hence some of our results are verified. By using standard tensorial technique, we prove that the scalar curvature of (M 3 , ∇ ˜) satisfies the Poisson equation Δ R = 4 (2 − σ − 6 ρ) ρ .
- Subjects
EINSTEIN, Albert, 1879-1955; EINSTEIN manifolds; RIEMANNIAN manifolds; SOLITONS; CURVATURE
- Publication
Axioms (2075-1680), 2023, Vol 12, Issue 9, p809
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms12090809