On infinitesimal and local rigidity of harmonic maps between spheres defined by spherical harmonics

DOI10.1007/BF01773374zbMath0546.53038OpenAlexW1978788651MaRDI QIDQ797850

Gábor Tóth, Giuseppina D'Ambra

Publication date: 1984

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01773374

zbMATH Keywords

spherical harmonicsminimal immersioneigenvalue of the Laplacianlocally rigid

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)

Cites Work

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• Construction des applications harmoniques non rigides d'un tore dans la sphère
• On variations of harmonic maps into spaces of constant curvature
• Minimal immersions of surfaces in Euclidean spheres
• Polynomial maps from spheres to spheres
• Minimal immersions of spheres into spheres
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On Rigidity of Harmonic Mappings into Spheres
• A Report on Harmonic Maps
• Harmonic mappings of spheres

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