The Weyl functional near the Yamabe invariant

DOI10.1007/BF02930992zbMath1048.53020arXivmath/0201153MaRDI QIDQ1414827

Kazuo Akutagawa, Harish Seshadri, Osamu Kobayashi, Boris Botvinnik

Publication date: 4 December 2003

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201153

zbMATH Keywords

Yamabe functionalWeyl functional

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (9)

The Weyl functional on 4-manifolds of positive Yamabe invariant ⋮ Smooth Yamabe invariant with boundary ⋮ A gap theorem for positive Einstein metrics on the four-sphere ⋮ Aubin's lemma for the Yamabe constants of infinite coverings and a positive mass theorem ⋮ \(L^{n/2}\)-curvature gaps of the Weyl tensor ⋮ Almost conformally flat hypersurfaces ⋮ The modified Yamabe problem and geometry of modified scalar curvatures ⋮ The Yamabe invariant ⋮ On the isolation phenomena of Einstein manifolds—submanifolds versions

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