The Riemannian geometry of superminimal surfaces in complex space forms
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Publication:4896868
DOI10.1007/BF02106984zbMath0860.53038WikidataQ115392761 ScholiaQ115392761MaRDI QIDQ4896868
Publication date: 22 October 1996
Published in: Acta Mathematica Sinica (Search for Journal in Brave)
complex space formsuperminimal surfacesminimal 2-spherescharacterizations of Veronese surfacescurvature pinching theorems
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items
On non-\(\pm\)holomorphic conformal minimal two-spheres in a complex Grassmannian \(G(2,5)\) with constant curvature ⋮ On conformal minimal 2-spheres in complex Grassmann manifold \(G(2,n)\) ⋮ Minimal two-spheres in \(G(2, 4; (C))\) with parallel second fundamental form ⋮ The Calabi-Yau property of superminimal surfaces in self-dual Einstein four-manifolds ⋮ Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(HP^2\) ⋮ Rigidity theorems for holomorphic curves in a complex Grassmann manifold G(3,6)
Cites Work
- Harmonic maps from surfaces to complex projective spaces
- The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\)
- Harmonic maps of the two-sphere into a complex Grassmann manifold. II
- On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\)
- Harmonic sequences and harmonic maps of surfaces into complex Grassmannian manifolds
- Conformal and minimal immersions of compact surfaces into the 4-sphere
- Curvature pinching theorem for minimal surfaces with constant Kaehler angle in complex projective spaces
- Minimal immersions of surfaces in Euclidean spheres
- Minimal Surfaces by Moving Frames
- On Minimal Surfaces in a Kahler Manifold of Constant Holomorphic Sectional Curvature
- Rigidity of Pseudo-Holomorphic Curves of Constant Curvature in Grassmann Manifolds
- On the Volume Decreasing Property of a Class of Real Harmonic Mappings
- The riemannian geometry of holomorphic curves
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