Bach-flat isotropic gradient Ricci solitons

DOI10.2140/pjm.2018.293.75zbMath1387.53058arXiv1702.07369OpenAlexW2963365576MaRDI QIDQ1679928

Esteban Calviño-Louzao, Ramón Vázquez-Lorenzo, Ixchel Gutiérrez-Rodríguez, Eduardo García-Río

Publication date: 22 November 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07369

zbMATH Keywords

Riemannian extensionaffine surfacegradient Ricci solitonBach tensor

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2) ⋮ Constructing Bach flat manifolds of signature (2, 2) using the modified Riemannian extension ⋮ Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler

Cites Work

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• Bach-flat Lie groups in dimension 4
• Locally conformally flat Lorentzian gradient Ricci solitons
• Geometric flows in Hořava-Lifshitz gravity gravity
• On Bach flat warped product Einstein manifolds
• Self-dual conformal gravity
• On the classification of gradient Ricci solitons
• Ambient metrics for \(n\)-dimensional \(pp\)-waves
• Intrinsic geometry of oriented congruences in three dimensions
• Conformal Einstein spaces
• On gradient Ricci solitons
• On Bach-flat gradient shrinking Ricci solitons
• On four-dimensional anti-self-dual gradient Ricci solitons
• Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators
• Connections with skew-symmetric Ricci tensor on surfaces
• Two dimensional linear connexions with zero torsion and recurrent curvature
• Bach-flat gradient steady Ricci solitons
• The geometry of modified Riemannian extensions
• The Geometry of Walker Manifolds
• On locally conformally flat gradient steady Ricci solitons
• FOUR-DIMENSIONAL CONFORMAL C-SPACES
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES
• RIEMANN EXTENSIONS

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