As on arXiv
Abstract
In this note, we find a necessary condition on odd-dimensional Riemannian manifolds under which both of Sasakian structure and the generalised Ricci soliton equation are satisfied, and we give some examples.
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.
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Generalized Ricci solitons on LP-Sasakian manifolds admitting the general connection
Topics Sasakian & contact geometry, Ricci solitons
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Geometric Flows of -Structures on 3-Sasakian 7-Manifolds
Topics Sasakian & contact geometry, Generalized & G₂ flows · Shared terms “Sasakian structure”
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Characterization of Sasakian Manifolds by Curvature Conditions
Topics Sasakian & contact geometry · Shared terms “Sasakian structure”
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Courant Algebroid Relations, T-Dualities and Generalised Ricci Flow
Topics Generalized & G₂ flows · Shared terms “generalised Ricci”
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On the non-existence of symphonic maps
Topics Ricci solitons · Same authors Ahmed Mohammed Cherif, Kaddour Zegga · Shared terms “Riemannian manifolds”
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The extended quasi-Einstein manifolds with generalised Ricci solitons
Topics Generalized & G₂ flows, Ricci solitons · Shared terms “generalised Ricci”
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Immersions of Sasaki-Ricci solitons into homogeneous Sasakian manifolds
Topics Sasakian & contact geometry, Ricci solitons
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Complete gradient Einstein-type Sasakian manifolds with
Topics Sasakian & contact geometry, Ricci solitons
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.