Totally real submanifolds of a quaternionic Kaehlerian manifold

DOI10.2996/kmj/1138833651zbMath0391.53025OpenAlexW4240286765MaRDI QIDQ4172597

Shoichi Funabashi

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2996/kmj/1138833651

zbMATH Keywords

Totally Real SubmanifoldsCharacterization of Projective SpaceEinstein Totally Real SubmanifoldsMinimal Totally Real SubmanifoldsPinching Problem for the Second Fundamental FormQuaternionic Kaehlerian ManifoldRigidity Theorem

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (8)

Totally complex submanifolds in \(\mathbb{H} P^ m(1)\) ⋮ A generalized Wintgen inequality for quaternionic CR-submanifolds ⋮ Totally complex submanifolds of a quaternionic Kaehlerian manifold ⋮ Minimal \(\delta (2)\)-ideal Lagrangian submanifolds and the quaternionic projective space ⋮ Totally real flat minimal surfaces in quaternionic projective spaces ⋮ Totally real minimal submanifolds in a quaternion projective space ⋮ Submanifolds of quaternion projective space with bounded second fundamental form ⋮ Unnamed Item

Cites Work

• Some totally real submanifolds in a quaternion projective space
• Quaternion Kählerian manifolds
• Totally real submanifolds of complex space forms. I. II
• Totally real submanifolds in a Kaehler manifold
• Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
• Spherical space forms with normal contact metric 3-structure
• A Totally Real Surface in CP 2 that is not Totally Geodesic
• On Totally Real Submanifolds
• Some Totally Real Minimal Surfaces in CP 2
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