On the minimal submanifolds in \(\mathbb{C} P^ m(c)\) and \(S^ N(1)\)

DOI10.2996/kmj/1138039533zbMath0761.53033OpenAlexW1977949294MaRDI QIDQ1198476

Chang-Yu Xia

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.2996/kmj/1138039533

zbMATH Keywords

complex projective spacepinching theoremtotally real minimal submanifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (6)

Minimal submanifolds in a Riemannian manifold with pinched positive curvature ⋮ Characterization of Whitney spheres among Lagrangian submanifolds with conformal Maslov form ⋮ A sphere theorem for submanifolds in a manifold with pinched positive curvature ⋮ Gap theorems for Lagrangian submanifolds in complex space forms ⋮ Lagrangian homothetic solitons for the inverse mean curvature flow ⋮ On Complete Minimal Submanifolds in a Sphere

Cites Work

• Totally real submanifolds and symmetric bounded domains
• Curvature pinching and eigenvalue rigidity for minimal submanifolds
• A characterization of seven compact Kähler submanifolds by holomorphic pinching
• Curvature characterization of compact Hermitian symmetric spaces
• Pinching theorems for totally real minimal submanifolds of \(CP^ n(c)\)
• Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
• Totally real parallel submanifolds in \(P^ n(\)c)
• Planar geodesic immersions
• Submanifolds with Constant Mean Curvature
• On Totally Real Submanifolds
• Positively Curved Kaehler Submanifolds
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

This page was built for publication: On the minimal submanifolds in \(\mathbb{C} P^ m(c)\) and \(S^ N(1)\)