Isometric immersions from a Kähler manifold into the quaternionic projective space

DOI10.1007/S00229-016-0837-ZzbMath1353.53066OpenAlexW2313881264MaRDI QIDQ304509

Renato Tribuzy, Maria João Ferreira, Bruno Ascenso Simões

Publication date: 25 August 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-016-0837-z

zbMATH Keywords

totally geodesicindex of relative nullityKähler and quaternion Kählerpluriminimaltotally complex

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Unnamed Item
• A characterization of the standard embeddings of \(\mathbb CP^2\) and \(Q^3\)
• Parallel submanifolds in a quaternion projective space
• Totally complex submanifolds of a quaternionic Kaehlerian manifold
• Quaternion Kählerian manifolds
• On isometric immersions into complex space forms
• Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
• On the completeness of nullity foliations
• Elliptic spaces in Grassmann manifolds
• Hermitian and Kähler submanifolds of a quaternionic Kähler manifold

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