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Classification of indefinite hyper-Kähler symmetric spaces

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Publication:700524
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DOI10.4310/AJM.2001.v5.n4.a4zbMath1021.53025arXivmath/0007189MaRDI QIDQ700524

Vicente Cortés, Dimitrii V. Alekseevsky

Publication date: 22 October 2002

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0007189


zbMATH Keywords

hyper-Kähler manifoldspseudo-Riemannian symmetric spacesquaternionic structure


Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometry of symmetric spaces (53C35)


Related Items

New examples of indefinite hyper-Kähler symmetric spaces ⋮ Conformal holonomy, symmetric spaces, and skew symmetric torsion ⋮ Holonomy algebras of pseudo-quaternionic-Kählerian manifolds of signature (4,4) ⋮ Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4 ⋮ Indefinite hyperkähler metrics on Lie groups with abelian complex structures ⋮ A class of Osserman spaces ⋮ SOME HIGHLIGHTS OF DMITRY ALEKSEEVSKY'S WORK




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