Isotropic Kähler structures on Engel 4-manifolds

DOI10.1016/S0393-0440(99)00055-8zbMath0964.53047OpenAlexW2076242067MaRDI QIDQ1973423

Eduardo García-Río, Yasuo Matsushita

Publication date: 16 July 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(99)00055-8

zbMATH Keywords

almost complex structureEngel distributionindefinite Kähler manifoldalmost Hermitian structureisotropic Kähler manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (12)

Invariant tensors under the twin interchange of Norden metrics on almost complex manifolds ⋮ Self-dual Walker metrics with a two-step nilpotent Ricci operator ⋮ Almost Kähler Walker 4-manifolds ⋮ On an isotropic property of anti-Kähler-Codazzi manifolds ⋮ Counterexamples to Goldberg Conjecture with Reversed Orientation on Walker 8-Manifolds of Neutral Signature ⋮ Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds ⋮ On Lie groups as quasi-Kähler manifolds with Killing Norden metric ⋮ Four-dimensional manifolds with degenerate self-dual Weyl curvature operator ⋮ Hermitian-Walker 4-manifolds ⋮ Isotropic Kähler hyperbolic twistor spaces ⋮ Unnamed Item ⋮ NOTES ON PARA-NORDEN–WALKER 4-MANIFOLDS

Cites Work

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• Fields of 2-planes and two kinds of almost complex structures on compact 4-dimensional manifolds
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Exotic Engel structures on \(\mathbb{R}^4\)
• Pseudo-Chern classes and opposite Chern classes of indefinite almost Hermitian manifolds

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