As on arXiv
Abstract
In this paper, we study the existence of symphonic maps on compact or complet non-compact Riemannian manifold into Riemannian manifolds admitting a conformal vector field or a non-trivial Ricci solitons.
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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On Ricci Solitons and Harmonic Vector Fields in the Thurston Geometry
Topics Ricci solitons · Same author Ahmed Mohammed Cherif · Shared terms “vector field”, “compact Riemannian”, “Riemannian manifolds”
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On the Generalised Ricci Solitons and Sasakian Manifolds
Topics Ricci solitons · Same authors Ahmed Mohammed Cherif, Kaddour Zegga · Shared terms “Riemannian manifolds”
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Ricci Solitons on the Lie Group and Applications
Topics Ricci solitons · Same author Ahmed Mohammed Cherif · Shared terms “vector field”
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Clairaut anti-invariant Riemannian maps with Kähler and Ricci soliton structures
Topics Ricci solitons · Shared terms “conformal vector”, “manifold admitting”, “vector field”
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Gradient Ricci solitons carrying a closed conformal vector field
Topics Ricci solitons · Shared terms “conformal vector”, “vector field”
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Nature of Some Solitons on Almost coKähler Manifolds and Asymptotically Harmonic Manifolds
Topics Ricci solitons · Shared terms “trivial Ricci”, “manifold admitting”
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Ricci Solitons on a family of three dimensional Lorentzian Walker manifolds
Topics Ricci solitons · Shared terms “trivial Ricci”, “Riemannian manifolds”, “vector field”
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Clairaut Riemannian maps
Topics Ricci solitons · Shared terms “Riemannian manifolds”, “vector field”
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.