Group actions on \(S^6\) and complex structures on \(\mathbb{P}_3\)

DOI10.1215/S0012-7094-00-10214-1zbMath0971.53024arXivmath/9812076MaRDI QIDQ1975647

Thomas Peternell, Stefan Kebekus, Alan T. Huckleberry

Publication date: 21 October 2001

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9812076

zbMATH Keywords

complex manifoldalmost homogeneous structureintegrable complex structure

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost homogeneous manifolds and spaces (32M12)

Related Items (9)

Erratum: “Complex structure on the six dimensional sphere from a spontaneous symmetry breaking” [J. Math. Phys. 56, 043508 (2015)] ⋮ Scalar curvature, Kodaira dimension and \({{\widehat{A}}} \)-genus ⋮ Twistor geometry and warped product orthogonal complex structures ⋮ On the history of the Hopf problem ⋮ Hodge numbers of a hypothetical complex structure on \(S^{6}\) ⋮ The complex geometry of a hypothetical complex structure on \(S^6\) ⋮ Ricci curvatures on Hermitian manifolds ⋮ Structures géométriques holomorphes sur les variétés complexes compactes ⋮ Killing fields of holomorphic Cartan geometries

Cites Work

• Semisimple group actions on the three dimensional affine space are linear
• Compact complex manifolds without meromorphic functions
• On almost homogeneous compact complex analytic surfaces
• Sur les variétés analytiques complexes
• Quotients by C ∗ × C ∗ Actions
• Groupes de Lie et Puissances Reduites de Steenrod
• Threefolds whose canonical bundles are not numerically effective
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