Pinching theorems for totally real minimal submanifolds of \(CP^ n(c)\)

DOI10.2748/tmj/1178227823zbMath0662.53047OpenAlexW1978050969MaRDI QIDQ1113471

Hillel Gauchman

Publication date: 1989

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227823

zbMATH Keywords

totally geodesiccomplex space formpinching theoremminimal totally real submanifold

Mathematics Subject Classification ID

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

Related Items (7)

Holomorphic maps of Kähler manifolds with constrained energy density ⋮ An optimal pinching theorem of minimal Legendrian submanifolds in the unit sphere ⋮ Sharp estimates for the first eigenvalue of Schrödinger operator in the unit sphere ⋮ Geometric and topological rigidity for compact submanifolds of odd dimension ⋮ 1-type submanifolds of the complex projective space ⋮ On the minimal submanifolds in \(\mathbb{C} P^ m(c)\) and \(S^ N(1)\) ⋮ Pinching problems of minimal submanifolds in a product space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterization of seven compact Kähler submanifolds by holomorphic pinching
• Curvature characterization of compact Hermitian symmetric spaces
• Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
• Totally real submanifolds of complex space forms. I. II
• Minimal varieties in Riemannian manifolds
• Minimal Submanifolds of a Sphere With Bounded Second Fundamental Form
• A Totally Real Surface in CP 2 that is not Totally Geodesic
• On Totally Real Submanifolds
• Positively Curved Kaehler Submanifolds
• Isotropic and Kähler Immersions
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

This page was built for publication: Pinching theorems for totally real minimal submanifolds of \(CP^ n(c)\)