Totally complex submanifolds in \(\mathbb{H} P^ m(1)\)

DOI10.1007/BF01265301zbMath0835.53067OpenAlexW2317474788MaRDI QIDQ1900006

Xia Changyu

Publication date: 31 March 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01265301

zbMATH Keywords

second fundamental formsectional curvaturepinchingquaternionic projective spacetotally complex submanifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Submanifolds of quaternion projective space with bounded second fundamental form
• Totally real submanifolds and symmetric bounded domains
• Parallel submanifolds in a quaternion projective space
• A characterization of seven compact Kähler submanifolds by holomorphic pinching
• Totally complex submanifolds of a quaternionic Kaehlerian manifold
• Quaternion Kählerian manifolds
• Totally real submanifolds of a quaternionic Kaehlerian manifold
• Positively Curved Kaehler Submanifolds

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