Harmonic morphisms between spaces of constant curvature

DOI10.1017/S0013091500005940zbMath0790.58012MaRDI QIDQ4289436

Sigmundur Gudmundsson

Publication date: 5 July 1994

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

harmonic morphismsisoparametric foliations

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20)

Related Items (10)

Harmonic morphisms from complex projective spaces ⋮ Quadratic harmonic morphisms and \(O\)-systems ⋮ THE STRUCTURE OF HARMONIC MORPHISMS WITH TOTALLY GEODESIC FIBRES ⋮ Harmonic morphisms in Hermitian geometry ⋮ Classification and Liouville type theorems for \(p\)-harmonic morphisms ⋮ \(p\)-harmonic maps and minimal submanifolds ⋮ A note on the classification of holomorphic harmonic morphisms ⋮ \(p\)-harmonic morphisms, minimal foliations, and rigidity of metrics ⋮ HARMONIC MORPHISMS WITH ONE-DIMENSIONAL FIBRES ⋮ Restrictions on harmonic morphisms

Cites Work

• Bernstein theorems for harmonic morphisms from \({\mathbb R}\) 3 and S 3
• Critical point theory and submanifold geometry
• Harmonic morphisms between Riemannian manifolds
• Brownian motions and generalized analytic and inner functions
• The fundamental equations of a submersion
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• Sur des familles remarquables d'hypersurfaces isoparametriques dans les espaces spheriques
• On the geometry of harmonic morphisms
• Generalised Cartan Polynomials
• Isoparametric Systems and Transnormality
• Another Report on Harmonic Maps
• A Criterion of Non-Vanishing Differential of a Smooth Map
• Harmonic Morphisms, Seifert Fibre Spaces and Conformal Foliations

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