Paper · May 11, 2018
A note on Ricci soliton in almost Kenmotsu manifold
As on arXiv
Abstract
In this short note it is established that there does not exist Ricci soliton with the Reeb potential vector field in an almost Kenmotsu manifold (briefly, ).
- Submitted
- May 11, 2018
- Last revised
- Oct 17, 2021 (v2)
- Subjects
- math.DG
Comments: 5 pages
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 2016, plus the canon.
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Geometry of almost contact metrics as almost -Ricci solitons
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Almost -Ricci solitons on Kenmotsu manifolds
Topics Sasakian & contact geometry, Ricci solitons · Shared terms “Kenmotsu manifold”, “Reeb”, “potential vector”
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-Ricci Solitons on Kenmotsu 3-Manifolds
Topics Sasakian & contact geometry, Ricci solitons · Same author U. C. De · Shared terms “Kenmotsu”
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Kenmotsu metric as conformal -Ricci soliton
Topics Sasakian & contact geometry, Ricci solitons · Shared terms “Kenmotsu manifold”, “potential vector”, “Reeb”
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Geometric solitons in a -homothetically deformed Kenmotsu manifold
Topics Sasakian & contact geometry, Ricci solitons · Shared terms “Kenmotsu manifold”, “vector field”, “potential vector”
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
- 11B.1Ricci Solitons
Self-similar solutions: the Gaussian, cylinders, the cigar and the Bryant soliton.
- 12B.2The Asymptotic Soliton and Three-Dimensional Shrinkers
Perelman's Proposition 11.2 proved with Morgan and Tian: the reduced-length bounds on κ-solutions, the limit of rescalings, the equality case, and the classification of shrinking solitons in dimensions two and three.