Distinguished dimensions for special Riemannian geometries

DOI10.1016/j.geomphys.2008.03.012zbMath1215.53032arXivmath/0601020OpenAlexW2082174075WikidataQ115353388 ScholiaQ115353388MaRDI QIDQ950265

Paweł~ Nurowski

Publication date: 22 October 2008

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

Full work available at URL: https://arxiv.org/abs/math/0601020

zbMATH Keywords

isoparametric hypersurfacesoctonionscharacteristic connectionskew symmetric torsionmagic square of Lie algebras

Mathematics Subject Classification ID

Other connections (53B15) (G)-structures (53C10) Other special differential geometries (53A40)

Related Items (10)

Simple \(\omega \)-Lie algebras and 4-dimensional \(\omega \)-Lie algebras over \(\mathbb {C}\) ⋮ Sp(3) structures on 14-dimensional manifolds ⋮ Classification of three-dimensional complex \(\omega\)-Lie algebras ⋮ Derivations, automorphisms, and representations of complex ω-Lie algebras ⋮ On ω-Lie superalgebras ⋮ \(\mathrm{GL}(2,\mathbb R)\) geometry of ODEs ⋮ On low-dimensional complex \(\omega \)-Lie superalgebras ⋮ Representations of ω-Lie algebras and tailed derivations of Lie algebras ⋮ Riemannian manifolds with structure group PSU(3) ⋮ Hidden symmetries and supergravity solutions

Uses Software

• LiE

Cites Work

• Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• Irreducible SO(3) geometry in dimension five
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