The Gauss maps of transversally complex submanifolds of a quaternion projective space

DOI10.2748/tmj.20191202zbMath1495.53069OpenAlexW3137557192MaRDI QIDQ2234533

Kazumi Tsukada

Publication date: 19 October 2021

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj.20191202

zbMATH Keywords

quaternionic Kähler manifoldsGauss mapsquaternionic manifoldsquaternionic projective spacetransversally complex submanifolds

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Local submanifolds (53B25)

Cites Work

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• Quaternion Kählerian manifolds
• Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic \(2\)-tori.
• Legendrian varieties
• Transversally Complex Submanifolds of a Quaternion Projective Space
• 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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