The size of isoperimetric surfaces in $3$-manifolds and a rigidity result for the upper hemisphere

DOI10.1090/S0002-9939-09-09789-5zbMath1187.53038arXiv0706.3483MaRDI QIDQ5322868

Michael Eichmair

Publication date: 23 July 2009

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

Full work available at URL: https://arxiv.org/abs/0706.3483

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items

Rigidity of area-minimizing hyperbolic surfaces in three-manifolds ⋮ Deformations of the hemisphere that increase scalar curvature ⋮ Conformal rigidity of the hemispheres \({{\text S}^4_+}\) and \({{\text S}^6_+}\) ⋮ Metrics of positive scalar curvature and unbounded min-max widths ⋮ Rigidity of min-max minimal spheres in three-manifolds ⋮ Rigidity theorems for compact manifolds with boundary and positive Ricci curvature

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