On the construction of constant mean curvature imbeddings of exotic and/or knotted spheres into \(S^ n(1)\)

DOI10.1007/BF01388863zbMath0577.53043OpenAlexW1981901773MaRDI QIDQ1065408

Wu-yi Hsiang, Wu-teh Hsiang

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143293

zbMATH Keywords

constant mean curvaturehigher-dimensional knots

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Homotopy spheres, Poincaré conjecture (57R60)

Related Items

Equivariant geometry in Euclidean \(G\)-spheres of cohomogeneity two. I ⋮ Compact differentiable transformation groups on exotic spheres ⋮ On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres. II ⋮ Closed 3-dimensional hypersurfaces with constant mean curvature and constant scalar curvature ⋮ The volume of geodesic balls and tubes about totally geodesic submanifolds in compact symmetric spaces ⋮ Complete minimal hypersurfaces in quaternionic hyperbolic space ⋮ On the construction of codimension-two minimal immersions of exotic spheres ⋮ On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres

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