Pseudo-conformal quaternionic \(CR\) structure on \((4n+3)\)-dimensional manifolds

DOI10.1007/s10231-007-0053-2zbMath1223.53054arXivmath/0502531OpenAlexW1985820950MaRDI QIDQ931329

Yoshinobu Kamishima, Dimitrii V. Alekseevsky

Publication date: 25 June 2008

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502531

zbMATH Keywords

pseudo-conformal quaternionic structurequaternionic \(CR\) structure

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Groups acting on specific manifolds (57S25) Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (15)

Three-dimensional Lie group actions on compact (4\(n\)+3)-dimensional geometric manifolds ⋮ Sub-Riemannian geodesics and heat operator on odd dimensional spheres ⋮ Quaternionic and para-quaternionic CR structure on \((4n+3)\)-dimensional manifolds ⋮ Twistor theory for co-CR quaternionic manifolds and related structures ⋮ Infranilmanifolds which admit complex contact structures ⋮ Quaternionic Kähler and \(\mathrm{Spin}(7)\) metrics arising from quaternionic contact Einstein structures ⋮ Sub-Riemannian geometry of parallelizable spheres ⋮ The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold ⋮ Pseudo-conformal quaternionic \(CR\) structure on \((4n+3)\)-dimensional manifolds ⋮ Almost CR quaternionic manifolds and their immersibility in \(\mathbb{H}\mathrm{P}^n\). ⋮ Conformal quaternionic contact curvature and the local sphere theorem ⋮ Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem ⋮ Twistor theory for CR quaternionic manifolds and related structures ⋮ Quaternionic contact \(4n+3\)-manifolds and their \(4n\)-quotients ⋮ Unnamed Item

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