On critical Riemannian metrics for a curvature functional on 3-manifolds

DOI10.3792/pjaa.78.43zbMath1017.58009OpenAlexW2031496059WikidataQ115219915 ScholiaQ115219915MaRDI QIDQ1608303

Minyo Katagiri

Publication date: 4 August 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1148392730

zbMATH Keywords

Riemannian metriccurvatureEinstein metricscritical metrics

Mathematics Subject Classification ID

Critical metrics (58E11) General geometric structures on low-dimensional manifolds (57M50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

Critical metrics of the Schouten functional ⋮ On conformally flat critical Riemannian metrics for a curvature functional

Cites Work

• The principle of symmetric criticality
• Deformations of Riemannian metrics on 3-dimensional manifolds
• Extrema of curvature functional on the space of metrics on 3-manifolds
• A critical metric for the 𝐿²-norm of the curvature tensor on 𝑆³
• A new variational characterization of three-dimensional space forms

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