Constructing Bach flat manifolds of signature (2, 2) using the modified Riemannian extension
DOI10.1063/1.5080319zbMath1480.53061arXiv1807.09218OpenAlexW3102716845WikidataQ115333059 ScholiaQ115333059MaRDI QIDQ4621279
Ramón Vázquez-Lorenzo, Peter B. Gilkey, Ixchel Gutiérrez-Rodríguez, Eduardo García-Río, Esteban Calviño-Louzao
Publication date: 11 February 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.09218
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)
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Cites Work
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- Bach-flat Lie groups in dimension 4
- Making the case for conformal gravity
- Ambient metrics for \(n\)-dimensional \(pp\)-waves
- Conformal Einstein spaces
- Bach-flat isotropic gradient Ricci solitons
- Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons
- A classification of locally homogeneous connections on 2-dimensional manifolds
- Affine surfaces which are Kähler, para-Kähler, or nilpotent Kähler
- Einstein gravity from conformal gravity in 6D
- Connections with skew-symmetric Ricci tensor on surfaces
- New vacuum solutions of conformal Weyl gravity
- Conformal gravity and “gravitational bubbles”
- Not conformally Einstein metrics in conformal gravity
- Pseudo-Riemannian VSI spaces II
- Necessary and sufficient conditions for n-dimensional conformal Einstein spaces via dimensionally dependent identities
- The geometry of modified Riemannian extensions
- Sasakian manifolds with purely transversal Bach tensor
- Neutral signature Walker-VSI metrics
- FOUR-DIMENSIONAL CONFORMAL C-SPACES
- RIEMANN EXTENSIONS
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