Geodesic mappings of compact quasi-Einstein spaces, II

DOI10.15673/tmgc.v14i1.1936zbMath1468.53019OpenAlexW4239486102MaRDI QIDQ4997681

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Publication date: 30 June 2021

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15673/tmgc.v14i1.1936

zbMATH Keywords

pseudo-Riemannian spacegeodesic mappingquasi-Einstein space

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Equations of motion in general relativity and gravitational theory (83C10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

Generalized φ(Ric)-vector fields in special pseudo-Riemannian spaces ⋮ On the geodesic mappings of pseudo-Riemannian spaces with special supplementary tensor ⋮ Geodesic Ricci-symmetric pseudo-Riemannian spaces ⋮ On geodesic mappings of symmetric pairs ⋮ Fundamental theorems of quasi-geodesic mappings of generalized-recurrent-parabolic spaces ⋮ On conformally reducible pseudo-Riemannian spaces

Cites Work

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• The mobility of Riemannian spaces with respect to conformal mappings onto Einstein spaces
• There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics
• On the degree of geodesic mobility for Riemannian metrics
• Geodesic uniqueness in the whole of some generally recurrent Riemannian spaces
• There exist no 4-dimensional geodesically equivalent metrics with the same stress-energy tensor
• Geodesic mappings of compact quasi-Einstein spaces, I
• ϕ(Ric)—Vector Fields on Conformally Flat Spaces

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