HyperKähler torsion structures invariant by nilpotent Lie groups

DOI10.1088/0264-9381/19/3/309zbMath1001.53031arXivmath/0112166OpenAlexW3101471031WikidataQ115293979 ScholiaQ115293979MaRDI QIDQ2784143

Isabel G. Dotti, Anna Fino

Publication date: 8 September 2002

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112166

zbMATH Keywords

Wess-Zumino termsupergravity theorieshyper-Kähler torsion

Mathematics Subject Classification ID

Supergravity (83E50) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (19)

Unnamed Item ⋮ 3-structures with torsion ⋮ The moduli space of six-dimensional two-step nilpotent Lie algebras ⋮ Abelian balanced Hermitian structures on unimodular Lie algebras ⋮ Hypercomplex almost abelian solvmanifolds ⋮ Odd‐dimensional counterparts of abelian complex and hypercomplex structures ⋮ Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Spin(9)-structures and connections with totally skew-symmetric torsion. ⋮ Locally conformally Kähler structures on unimodular Lie groups ⋮ Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds ⋮ Static SKT metrics on Lie groups ⋮ New HKT manifolds arising from quaternionic representations ⋮ Hypercomplex structures with Hermitian-Norden metrics on four-dimensional Lie algebras ⋮ Properties of manifolds with skew-symmetric torsion and special holonomy ⋮ Abelian Hermitian geometry ⋮ Some remarks on Hermitian manifolds satisfying Kähler-like conditions ⋮ Lie groups as 3-dimensional almost paracontact almost paracomplex Riemannian manifolds ⋮ Locally conformal SKT structures

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