The second variational formula for the functional ∫𝑣⁽⁶⁾(𝑔)𝑑𝑉_{𝑔}

DOI10.1090/S0002-9939-2010-10703-7zbMath1220.53045arXiv1006.0156OpenAlexW2963061135MaRDI QIDQ3020379

Haizhong Li, Bin Guo

Publication date: 4 August 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0156

zbMATH Keywords

second variationEinstein metricBach tensorrenormalized volume coefficients

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global Riemannian geometry, including pinching (53C20) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

A note on renormalized volume functionals ⋮ Heat kernel expansions, ambient metrics and conformal invariants ⋮ Variational formulae of some functionals by the modified Schouten tensor ⋮ A weighted renormalized curvature for manifolds with density

Cites Work

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• Two Kazdan-Warner-type identities for the renormalized volume coefficients and the Gauss-Bonnet curvatures of a Riemannian metric
• Extended obstruction tensors and renormalized volume coefficients
• Conformal geometry, contact geometry, and the calculus of variations
• Holographic formula for \(Q\)-curvature

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