Submanifolds of quaternion projective space with bounded second fundamental form

DOI10.2996/kmj/1138039097zbMath0691.53047OpenAlexW1989207010MaRDI QIDQ582607

Patrick Coulton, Hillel Gauchman

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2996/kmj/1138039097

zbMATH Keywords

second fundamental formquaternion projective spacecompact complex submanifoldstotally real minimal submanifolds

Mathematics Subject Classification ID

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

Related Items (2)

Totally complex submanifolds in \(\mathbb{H} P^ m(1)\) ⋮ Totally complex submanifolds of the Cayley projective plane

Cites Work

• Parallel submanifolds in a quaternion projective space
• A characterization of seven compact Kähler submanifolds by holomorphic pinching
• Curvature characterization of compact Hermitian symmetric spaces
• Totally complex submanifolds of a quaternionic Kaehlerian manifold
• Quaternion Kählerian manifolds
• On locally symmetric Kaehler submanifolds in a complex projective space
• Minimal varieties in Riemannian manifolds
• Minimal Submanifolds of a Sphere With Bounded Second Fundamental Form
• Totally real submanifolds of a quaternionic Kaehlerian manifold
• Positively Curved Kaehler Submanifolds
• Isotropic and Kähler Immersions
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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