Paraquaternionic Kähler manifolds

DOI10.1216/rmjm/1008959679zbMath0987.53020OpenAlexW2065682429MaRDI QIDQ5940638

Yasuo Matsushita, Ramón Vázquez-Lorenzo, Eduardo García-Río

Publication date: 12 August 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL31-1/CONT31-1/CONT31-1.html

zbMATH Keywords

degenerate sectionsJacobi operatorsparaquaternionic Kähler manifoldparaquaternionic sectional curvature

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (12)

CURVATURE PROPERTIES OF PSEUDO-SPHERE BUNDLES OVER PARAQUATERNIONIC MANIFOLDS ⋮ Almost Kähler-Einstein structures on 8-dimensional Walker manifolds ⋮ Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions ⋮ Submanifolds in manifolds with metric mixed 3-structures ⋮ Conformal flatness, non-abelian Kaluza-Klein reduction and quaternions ⋮ Hyper-para-Hermitian manifolds with torsion ⋮ On paraquaternionic submersions between paraquaternionic Kähler manifolds ⋮ Hyperbolic twistor space ⋮ Classification of the Weyl curvature spinors of neutral metrics in four dimensions ⋮ About the geometry of almost para-quaternionic manifolds ⋮ Paraquaternionic CR-Submanifolds ⋮ Para-Hermitian and paraquaternionic manifolds

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