The closed embedded minimal surfaces in an almost positively curved three manifold

DOI10.1007/BF00773657zbMath0867.53051WikidataQ125992697 ScholiaQ125992697MaRDI QIDQ1897592

Yng-Ing Lee, Derchyi Wu

Publication date: 9 October 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

first eigenvaluepositive Ricci curvaturecompactness theoremclosed embedded minimal hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Cites Work

• \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds
• A first eigenvalue estimate for minimal hypersurfaces
• The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
• The existence of minimal immersions of 2-spheres
• A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
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