Eigenvalues of the Laplacian and curvature

DOI10.4064/cm-42-1-19-31zbMath0437.53032OpenAlexW2108886496MaRDI QIDQ3878349

M.Kothe, K.-D. Semmler, Kornel Benko, Udo Simon

Publication date: 1979

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-42-1-19-31

zbMATH Keywords

eigenvaluesRiemannian manifoldLaplacianminimal submanifoldsdelta-pinched

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (10)

Rigidity of closed CSL submanifolds in the unit sphere ⋮ Minimal 2-spheres in a complex projective space ⋮ New characterizations of the Clifford tori and the Veronese surface ⋮ An intrinsic rigidity theorem for minimal submanifolds in a sphere ⋮ Rigidity of compact minimal submanifolds in a unit sphere ⋮ Minimal surfaces in a unit sphere pinched by intrinsic curvature and normal curvature ⋮ Minimal immersions of surfaces into spheres ⋮ Minimal immersions of curvature pinched 2-manifolds into spheres ⋮ Minimal immersions of 2-manifolds into spheres ⋮ Minimal surfaces in a sphere with Gaussian curvature not less than 1/6

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