As on arXiv
Abstract
We construct examples of Bach-flat gradient Ricci solitons which are neither half conformally flat nor conformally Einstein.
- Submitted
- Feb 23, 2017
- Subjects
- math.DG
- Journal
- Pacific J. Math. 293 (2018) 75-99
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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Bach-flat h-almost gradient Ricci solitons
Topics Ricci solitons · Shared terms “Bach flat”, “gradient Ricci”, “conformally flat”
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Four-dimensional Lorentzian algebraic Ricci solitons
Topics Ricci solitons · Same authors Eduardo García-Río, Ramón Vázquez-Lorenzo
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Vanishing bach-like tensors on complete gradient shrinking ricci solitons
Topics Ricci solitons · Shared terms “Bach”, “flat gradient”
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On Complete Gradient Steady Ricci Solitons with Vanishing D-tensor
Topics Ricci solitons · Shared terms “Bach flat”, “flat gradient”, “gradient Ricci”
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Rigidity of Gradient Shrinking Ricci Solitons with a Vanishing Bach-like Tensor and Related Variational Formulas
Topics Ricci solitons · Shared terms “Bach”
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On a Class of Gradient Almost Ricci Solitons
Topics Ricci solitons · Shared terms “half conformally”, “flat gradient”, “conformally flat”
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Steady Gradient Ricci Solitons with Symmetry
Topics Ricci solitons · Shared terms “gradient Ricci”, “construct examples”
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Rigidity of four-dimensional Kähler-Ricci solitons
Topics Ricci solitons · Shared terms “half conformally”, “conformally flat”, “gradient Ricci”
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.