On the isotropy of compact minimal surfaces in \({\mathbb{C}}P^ n\)

DOI10.1007/BF01230279zbMath0667.53045MaRDI QIDQ1117478

Marco Rigoli, Gary R. Jensen

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/173999

zbMATH Keywords

minimal surfaceFrenet frameRiemann surfaceisotropic mapconformal harmonic map

Mathematics Subject Classification ID

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

Related Items (1)

Cyclic properties of the harmonic sequence of surfaces in \(\mathbb{C} P^ n\)

Cites Work

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• Harmonic maps from surfaces to complex projective spaces
• The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\)
• On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Higher order contact of submanifolds of homogeneous spaces
• Minimal surfaces in a Kähler surface
• Minimal immersions of surfaces in Euclidean spheres
• Minimal Surfaces by Moving Frames
• On Minimal Surfaces in a Kahler Manifold of Constant Holomorphic Sectional Curvature
• A Theory of Branched Immersions of Surfaces

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