A characterization of Clifford tori with constant scalar curvature one by the first stability eigenvalue

DOI10.1007/S00574-004-0009-8zbMath1068.53042OpenAlexW2071687083MaRDI QIDQ1762913

Luis J. Alías, Luiz A. M. jun. Sousa, Aldir Brasil Junior

Publication date: 11 February 2005

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-004-0009-8

zbMATH Keywords

hypersurfacemean curvaturefirst eigenvaluespherical spaceJacobi operatorscalar curvature one

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)

Related Items (5)

Upper bounds for the first stability eigenvalue of surfaces in 3-Riemannian manifolds ⋮ A half-space type property in the Euclidean sphere ⋮ First eigenvalue of a Jacobi operator of hypersurfaces with a constant scalar curvature ⋮ Second eigenvalue of a Jacobi operator of hypersurfaces with constant scalar curvature ⋮ Unnamed Item

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