Almost CR quaternionic manifolds and their immersibility in \(\mathbb{H}\mathrm{P}^n\).

DOI10.1007/s12188-016-0136-3zbMath1362.53065arXiv1311.4072OpenAlexW2556904868MaRDI QIDQ525195

Andrea Santi

Publication date: 28 April 2017

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4072

zbMATH Keywords

quaternionic projective spaceCR quaternionic manifoldgeneralized integrability problem for \(G\)-structuresgeneralized Spencer cohomology groups

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global submanifolds (53C40)

Related Items

A generalized integrability problem for \(G\)-structures

Cites Work

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• A generalized integrability problem for \(G\)-structures
• Quaternionic structures on a manifold and subordinated structures
• Twistor theory for CR quaternionic manifolds and related structures
• Quaternionic contact structures in dimension 7
• Pseudo-conformal quaternionic \(CR\) structure on \((4n+3)\)-dimensional manifolds
• Strongly pseudoconvex CR structures over small balls. III: An embedding theorem
• The infinite groups of Lie and Cartan. I: The transitive groups
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Quaternionic Kähler and \(\mathrm{Spin}(7)\) metrics arising from quaternionic contact Einstein structures
• On seven-dimensional quaternionic contact solvable Lie groups
• Differential geometry of quaternionic manifolds
• The Integrability Problem for G-Structures
• Geometry Associated with Semisimple Flat Homogeneous Spaces

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