The index of minimal immersions of \(S^ 2\) into \(S^{2n}\)

DOI10.1007/BF01162011zbMath0517.53056MaRDI QIDQ1053299

Norio Ejiri

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173350

zbMATH Keywords

minimal submanifoldfirst eigenvalueJacobi operator

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Minimal two-spheres of low index in manifolds with positive complex sectional curvature ⋮ A multiplicity estimate for the Jacobi operator of a nonflat Yang-Mills field over \(\mathbb{S}^m\) ⋮ On the index of minimal 2-tori in the 4-sphere ⋮ Second variation of compact minimal Legendrian submanifolds of the sphere ⋮ Second variation of superminimal surfaces into self-dual Einstein four-manifolds ⋮ Index of minimal spheres and isoperimetric eigenvalue inequalities ⋮ Stable harmonic 2-spheres in symmetric spaces ⋮ The second variation for null-torsion holomorphic curves in the 6-sphere ⋮ Willmore deformations between minimal surfaces in \(\mathbb{H}^{n+2}\) and \(\mathbb{S}^{n+2}\)

Cites Work

• Unnamed Item
• Minimal immersions of surfaces in Euclidean spheres
• Minimal varieties in Riemannian manifolds
• Homologie singulière des espaces fibrés. Applications
• On Minimal Immersions of S 2 Into S 2m

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