Compact hypersurfaces in a unit sphere with infinite fundamental group.

DOI10.2140/PJM.2003.212.49zbMath1050.53039OpenAlexW2093296000MaRDI QIDQ1880094

Qing-Ming Cheng

Publication date: 16 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2003.212.49

zbMATH Keywords

hypersurfacefundamental group

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (6)

Submanifolds with constant scalar curvature in a unit sphere ⋮ Rigidity theorems for compact hypersurfaces in locally symmetric Riemannian manifolds ⋮ First eigenvalue of a Jacobi operator of hypersurfaces with a constant scalar curvature ⋮ Two rigidity theorems for fully nonlinear equations ⋮ Second eigenvalue of a Jacobi operator of hypersurfaces with constant scalar curvature ⋮ Stability of capillary hypersurfaces in a Euclidean ball

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