As on arXiv
Abstract
In the present paper we study -Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider -Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor. Beside these, we study -Ricci symmetric -Ricci soliton on Kenmotsu 3-manifolds. Also Kenmotsu 3-manifolds satisfying the curvature condition is considered. Finally, an example is constructed to prove the existence of a proper -Ricci soliton on a Kenmotsu 3-manifold.
Its neighbourhood
Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
-
Kenmotsu metric as conformal -Ricci soliton
Topics Sasakian & contact geometry, Almost & η-Ricci solitons, Ricci solitons · Shared terms “Kenmotsu”
-
Investigations on a Riemannian manifold with a semi-symmetric non-metric connection and gradient solitons
Topics Almost & η-Ricci solitons, 3-manifolds, Ricci solitons · Same authors K. De, U. C. De
-
Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons
Topics Almost & η-Ricci solitons, Ricci solitons · Same authors K. De, U. C. De · Shared terms “Besides”
-
--Ricci solitons on weak Kenmotsu -manifolds
Topics Sasakian & contact geometry, Almost & η-Ricci solitons, Ricci solitons · Shared terms “Kenmotsu”, “Ricci tensor”
-
The rigity of spaces with cyclic parallel Ricci tensor
Topics Almost & η-Ricci solitons, Ricci solitons · Shared terms “cyclic parallel”, “parallel Ricci”, “Ricci tensor”
-
--Ricci solitons and Einstein metrics on a weak -Kenmotsu manifold
Topics Sasakian & contact geometry, Almost & η-Ricci solitons, Ricci solitons · Shared terms “Kenmotsu”, “Ricci tensor”
-
-Ricci solitons and -Einstein metrics on weak -Kenmotsu -manifolds
Topics Sasakian & contact geometry, Almost & η-Ricci solitons, Ricci solitons · Shared terms “Kenmotsu”
-
Characterizations of a Lorentzian Manifold with a semi-symmetric metric connection
Topics Ricci solitons · Same authors K. De, U. C. De · Shared terms “Ricci tensor”
Read around it
Background reading
The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.
In the guidebook
- 10A.1A Zoo of Three-Manifolds
The 3-sphere, lens spaces, the Poincaré sphere, the Hopf fibration and the shape of space.
- 10A.2Finite Rotation Groups and Spherical Space Forms
Klein's classification by counting poles, the binary groups, and every quotient of the round 3-sphere.
- 10A.4Homotopy Groups, Degree and the Hurewicz Theorem
Spheres mapped into manifolds: the algebraic topology that finite extinction runs on.