Surfaces with parallel mean curvature vector in \(P^ 2(\mathbb C)\)

DOI10.2996/kmj/1138043479zbMath0865.53007OpenAlexW2052462522MaRDI QIDQ1911161

Takashi Ogata

Publication date: 10 July 1997

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043479

zbMATH Keywords

mean curvatureminimal submanifoldKähler function

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (8)

Symplectic critical surfaces with parallel normalized mean curvature vector in two-dimensional complex space forms ⋮ Conformal Ricci solitons of Lagrangian submanifolds in K\"{a}hler manifolds ⋮ Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes ⋮ Complete parallel mean curvature surfaces in two-dimensional complex space-forms ⋮ On the periodicity of planes with parallel mean curvature vector in \(\mathbb{C} H^2\) ⋮ Constant Gaussian curvature surfaces with parallel mean curvature vector in two-dimensional complex space forms ⋮ Surfaces with parallel mean curvature vector in $\mathbb{S}^{2}×\mathbb{S}^{2}$ and $\mathbb{H}^{2}×\mathbb{H}^{2}$ ⋮ Minimal surfaces in the complex hyperquadric $Q_2$ II

Cites Work

• Unnamed Item
• Curvature pinching theorem for minimal surfaces with constant Kaehler angle in complex projective spaces. II
• The fundamental equations of minimal surfaces in \({\mathbb{C}}P^ 2\)
• On minimal immersions of \(R^ 2\) into \(P^ n(C)\)
• Curvature pinching theorem for minimal surfaces with constant Kaehler angle in complex projective spaces
• Submanifolds with Constant Mean Curvature
• A Totally Real Surface in CP 2 that is not Totally Geodesic

This page was built for publication: Surfaces with parallel mean curvature vector in \(P^ 2(\mathbb C)\)