Harmonic morphisms from homogeneous spaces of positive curvature

DOI10.1017/S0305004114000334zbMath1307.53050arXiv1312.6515OpenAlexW3098112021MaRDI QIDQ2927887

Sigmundur Gudmundsson, Martin Svensson

Publication date: 4 November 2014

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

Full work available at URL: https://arxiv.org/abs/1312.6515

zbMATH Keywords

symmetric spacehomogeneous spaceharmonic morphism

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometric aspects of harmonic maps (53C43) Differential geometry of symmetric spaces (53C35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Homogeneous Riemannian spaces of four dimensions
• Harmonic morphisms between Riemannian manifolds
• Harmonic morphisms from complex projective spaces
• Die Krümmung des Raumes \(Sp(2)/SU(2)\) von Berger
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• Harmonic morphisms from solvable Lie groups
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• The normal homogeneous space (𝖲𝖴(3)×𝖲𝖮(3))/𝖴^{∙}(2) has positive sectional curvature

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