Prescribed diagonal Ricci tensor in locally conformally flat manifolds

DOI10.1016/j.jmaa.2014.07.058zbMath1296.53038OpenAlexW1985727776MaRDI QIDQ401412

Romildo Pina, Mauricio Pieterzack, Levi Rosa Adriano

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.058

zbMATH Keywords

scalar curvatureRicci curvatureconformal metric

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Related Items (5)

Metrics with prescribed Ricci curvature on homogeneous spaces ⋮ Prescribed diagonal Schouten tensor in locally conformally flat manifolds ⋮ Ricci iteration on homogeneous spaces ⋮ Prescribed Schouten tensor in locally conformally flat manifolds ⋮ Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces

Cites Work

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• Uniqueness and non-existence of metrics with prescribed Ricci curvature
• On solutions of the Ricci curvature equation and the Einstein equation
• Existence of metrics with prescribed Ricci curvature: Local theory
• Prescribing Ricci curvature on open surfaces
• Metrics with prescribed Ricci curvature of constant rank. I: The integrable case
• On the Ricci and Einstein equations on the pseudo-Euclidean and hyperbolic spaces
• The Ricci Curvature Equation with Rotational Symmetry
• Conformal metrics and Ricci tensors on the sphere

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