-Ricci Solitons on Sasakian 3-Manifolds
Reads0
Chats0
TLDR
In this paper, a Ricci tensor tensor of Codazzi type and cyclic parallel tensor has been considered on Sasakian 3-manifolds with curvature condition Q.R = 0 and conformally flat and φ-Ricci symmetric Ricci solitons.Abstract:
Abstract In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold. Moreover we consider η-Ricci solitons on Sasakian 3-manifolds with Ricci tensor of Codazzi type and cyclic parallel Ricci tensor. Beside these we study conformally flat and φ-Ricci symmetric η-Ricci soliton on Sasakian 3-manifolds. Also η-Ricci soliton on Sasakian 3-manifolds with the curvature condition Q.R = 0 have been considered. Finally, we construct an example to prove the non-existence of proper η-Ricci solitons on Sasakian 3-manifolds and verify some results.read more
Citations
More filters
Journal ArticleDOI
*-Ricci soliton on (κ, μ)′-almost Kenmotsu manifolds
TL;DR: In this article, it was shown that if the metric g of M is a *-Ricci soliton, then either M is locally isometric to the product ℍn+1(−4)×ℝn or the potential vector field is strict infinitesimal contact transformation.
Journal ArticleDOI
On quasi-Sasakian 3-manifolds admitting η-Ricci solitons
TL;DR: In this paper, it was shown that in a quasi-Sasakian 3-manifold admitting Ricci soliton, the structure function is a constant, which is the same as in the present paper.
Posted Content
Riemannian Maps whose Base Manifolds admit a Ricci Soliton and their Harmonicity
Akhilesh Yadav,Kiran Meena +1 more
TL;DR: In this paper, the Ricci tensors of base manifolds of Riemannian maps were obtained and a necessary and sufficient condition for Ricci soliton to be harmonic and biharmonic.
References
More filters
Book
Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
Journal ArticleDOI
Nonlinear models in 2 + ε dimensions☆
TL;DR: In this paper, the general nonlinear scalar model is studied at asymptotically low temperature near two dimensions, and the low temperature expansion is renormalized and effective algorithms are derived for calculation to all orders in the renormalised expansion.
Journal ArticleDOI
Ricci solitons on compact three-manifolds
TL;DR: In this article, it was shown that there are no compact three-dimensional Ricci solitons other than spaces of constant curvature, which generalizes a result obtained for surfaces by Hamilton.