Transversally Complex Submanifolds of a Quaternion Projective Space

DOI10.1007/978-981-10-5556-0_19zbMath1386.53067OpenAlexW2754747898MaRDI QIDQ4609944

Kazumi Tsukada

Publication date: 27 March 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-10-5556-0_19

zbMATH Keywords

Gauss mapHermitian symmetric spacesquaternionic differential geometry

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global submanifolds (53C40)

Related Items (2)

An inclusive immersion into a quaternionic manifold and its invariants ⋮ The Gauss maps of transversally complex submanifolds of a quaternion projective space

Cites Work

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• Quaternionic structures on a manifold and subordinated structures
• Holomorphically projective changes and their groups in an almost complex manifold
• Parallel submanifolds in a quaternion projective space
• Totally complex submanifolds of a quaternionic Kaehlerian manifold
• Quaternion Kählerian manifolds
• Legendrian varieties
• Maximal totally complex submanifolds of ℍℙ ⁿ  : homogeneity and normal holonomy
• Hermitian and Kähler submanifolds of a quaternionic Kähler manifold
• Conformal geometry of surfaces in \(S^4\) and quaternions

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