Holonomy groups of pseudo-quaternionic-Kählerian manifolds of non-zero scalar curvature

DOI10.1007/S10455-010-9234-0zbMath1208.53056arXiv1003.2574OpenAlexW3105179863MaRDI QIDQ620454

Natalia I. Bezvitnaya

Publication date: 19 January 2011

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2574

zbMATH Keywords

curvature tensorsymmetric spaceholonomy groupholonomy algebranon-zero scalar curvaturepseudo-quaternionic-Kählerian manifold

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Issues of holonomy in differential geometry (53C29)

Related Items (5)

Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4 ⋮ Holonomy classification of Lorentz-Kähler manifolds ⋮ Holonomy groups of ${{G}_{2}^*}$-manifolds ⋮ Local Type II metrics with holonomy in \(\mathrm{G}_2^*\) ⋮ On holonomy of Weyl connections in Lorentzian signature

Cites Work

• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• Differential geometry of quaternionic manifolds
• Semisimple groups and Riemannian symmetric spaces
• Connections with irreducible holonomy representations
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