As on arXiv
Abstract
This paper introduce the idea of second Ricci solitons. A second Ricci soliton is nothing but a steady hyperbolic Ricci soliton. We study the geometry of closed and compact second Ricci soliton manifolds. Immersed submanifolds as second solitons also will be investigated. Finally, we investigate this structure on warped product manifolds.
- Submitted
- Dec 4, 2025
- Subjects
- math.DG
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 the geometry of Riemannian warped product maps
Topics Rotational symmetry & warped products, Ricci solitons
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Topics Rotational symmetry & warped products, Ricci solitons
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Topics Rotational symmetry & warped products, Ricci solitons
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Topics Rotational symmetry & warped products, Ricci solitons
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Backward propagation of warped product structures and asymptotically conical shrinkers
Topics Rotational symmetry & warped products, Ricci solitons
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Some properties of hyperbolic Yamabe solitons
Topics Rotational symmetry & warped products · Shared terms “immersed submanifolds”
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Existence of singular rotationally symmetric gradient Ricci solitons in higher dimensions
Topics Rotational symmetry & warped products, Ricci solitons
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Gradient estimates for a parabolic partial differential equation under the Ricci-Bourguignon flow
Topics Rotational symmetry & warped products
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.