Metrics with prescribed Ricci curvature of constant rank. I: The integrable case

DOI10.1006/aima.1998.1810zbMath0951.53013OpenAlexW2082244281WikidataQ110896824 ScholiaQ110896824MaRDI QIDQ1300959

Hubert Goldschmidt, Dennis M. DeTurck

Publication date: 4 December 2000

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

Full work available at URL: https://doi.org/10.1006/aima.1998.1810

zbMATH Keywords

Ricci tensorprescribed Ricci curvatureBianchi's identity

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Local Riemannian geometry (53B20)

Related Items (12)

Riemannian manifolds whose curvature operator R(X, Y) has constant eigenvalues ⋮ On solutions of the Ricci curvature equation and the Einstein equation ⋮ Metrics with prescribed Ricci curvature on homogeneous spaces ⋮ $L^p$ almost conformal isometries of Sub-Semi-Riemannian metrics and solvability of a Ricci equation ⋮ Prescribed diagonal Schouten tensor in locally conformally flat manifolds ⋮ Prescribed diagonal Ricci tensor in locally conformally flat manifolds ⋮ Inversion of some curvature operators near a parallel Ricci metric ⋮ Group-invariant solutions for the Ricci curvature equation and the Einstein equation ⋮ Riemannian 3-metrics with a generic Codazzi Ricci tensor ⋮ Ricci iteration on homogeneous spaces ⋮ Inversion d'opérateurs de courbures au voisinage de la métrique euclidienne ⋮ Three-dimensional Ivanov–Petrova manifolds

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