Conformal rigidity of the hemispheres \({{\text S}^4_+}\) and \({{\text S}^6_+}\)

DOI10.1007/s00209-011-0885-8zbMath1253.53042arXiv1104.2682OpenAlexW1872114357MaRDI QIDQ444201

Simon Raulot

Publication date: 13 August 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2682

zbMATH Keywords

rigiditymanifolds with boundaryhemisphere

Mathematics Subject Classification ID

Rigidity results (53C24) Boundary value problems on manifolds (58J32)

Related Items (1)

Gelfand problem and hemisphere rigidity

Cites Work

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• Deformations of the hemisphere that increase scalar curvature
• Rigidity and non-rigidity results on the sphere
• The Yamabe problem on manifolds with boundary
• Application of the method of moving planes to conformally invariant equations
• Rigidity theorems for compact manifolds with boundary and positive Ricci curvature
• Branson's \(Q\)-curvature in Riemannian and spin geometry
• Conformal deformation on manifolds with boundary
• The size of isoperimetric surfaces in $3$-manifolds and a rigidity result for the upper hemisphere

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