Almost Hermitian structures and quaternionic geometries

DOI10.1016/j.difgeo.2004.03.008zbMath1062.53034arXivmath/0307118OpenAlexW2054771310WikidataQ115358046 ScholiaQ115358046MaRDI QIDQ1877086

Francisco Martín Cabrera, Andrew F. Swann

Publication date: 16 August 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307118

zbMATH Keywords

hyper-Kähleralmost quaternion-Hermitianalmost hyper-Hermitian

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) (G)-structures (53C10)

Related Items

Unnamed Item ⋮ Reduction of Vaisman structures in complex and quaternionic geometry ⋮ Homogeneous almost quaternion-Hermitian manifolds ⋮ Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds ⋮ The intrinsic torsion of almost quaternion-Hermitian manifolds ⋮ Geometric realizations of curvature models by manifolds with constant scalar curvature ⋮ Special almost Hermitian geometry ⋮ A characterization of compact locally conformally hyperkähler manifolds

Cites Work

• Hermitian manifolds with quaternion structure
• HyperKähler and quaternionic Kähler geometry
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Quaternionic Kaehler manifolds
• Almost-Hermitian geometry
• Geometry of quaternionic Kähler connections with torsion
• The Self-Duality Equations on a Riemann Surface
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