On conformal minimal immersions of \(S^2\) in \(HP^n\) with parallel second fundamental form

DOI10.1007/s10231-014-0420-8zbMath1325.53077OpenAlexW146796854MaRDI QIDQ495612

Ling He, Xiaoxiang Jiao

Publication date: 14 September 2015

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/s10231-014-0420-8

zbMATH Keywords

parallel second fundamental formquaternionic projective spaceconformal minimal sphere

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Minimal two-spheres in \(G(2, 4; (C))\) with parallel second fundamental form, Construction of conformal minimal two-spheres in quaternionic projective spaces by twistor map, Minimal surfaces in symmetric spaces with parallel second fundamental form, Conformal minimal surfaces immersed into \({\mathbb {H}}P^{n}\), Classification of homogeneous minimal immersions from \(S^2\) to \({\mathbb {H}}P^n\), Totally real flat minimal surfaces in quaternionic projective spaces, Minimal two-spheres with constant curvature in \(\mathbb{H} \mathrm{P}^n\), On conformal minimal immersions of two-spheres in a complex hyperquadric with parallel second fundamental form

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