Einstein spaces with a conformal group

DOI10.1007/s00025-009-0440-7zbMath1187.53046OpenAlexW1988490819MaRDI QIDQ2655734

Wolfgang Kuehnel, Hans-Bert Rademacher

Publication date: 26 January 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-009-0440-7

zbMATH Keywords

Einstein metricconformal groupwarped productconformal vector fieldconformal gradient field\(pp\)-wave

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (11)

There are no conformal Einstein rescalings of complete pseudo-Riemannian Einstein metrics ⋮ Conformally Einstein product spaces ⋮ Locally conformally flat Lorentzian gradient Ricci solitons ⋮ On some \({\mathcal {AC}}^{\perp }\) manifolds ⋮ Zero modes in de Sitter background ⋮ Warped product Finsler manifolds from Hamiltonian point of view ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ Huygens triviality of the time-independent Schrödinger equation. Applications to atomic and high energy physics ⋮ Conformal diffeomorphisms of gradient Ricci solitons and generalized quasi-Einstein manifolds ⋮ Null lifts and projective dynamics ⋮ Sectional curvature for Riemannian manifolds with density

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