Leibniz algebroids, generalized Bismut connections and Einstein-Hilbert actions

DOI10.1016/j.geomphys.2015.06.017zbMath1365.53079arXiv1503.03069OpenAlexW2132094621WikidataQ123365405 ScholiaQ123365405MaRDI QIDQ490954

Jan Vysoký, Branislav Jurčo

Publication date: 21 August 2015

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

Full work available at URL: https://arxiv.org/abs/1503.03069

zbMATH Keywords

torsioncurvatureBismut connectiongeneralized geometryLeibniz algebroids

Mathematics Subject Classification ID

Generalized geometries (à la Hitchin) (53D18)

Related Items (10)

Poisson-Lie T-duality of string effective actions: a new approach to the dilaton puzzle ⋮ Heterotic reduction of Courant algebroid connections and Einstein-Hilbert actions ⋮ Extended Riemannian geometry. I: Local double field theory ⋮ Effective Actions for σ‐Models of Poisson–Lie Type ⋮ Contravariant gravity on Poisson manifolds and Einstein gravity ⋮ Kaluza-Klein reduction of low-energy effective actions: geometrical approach ⋮ Metric-Bourbaki algebroids: Cartan calculus for M-theory ⋮ `Anti-commutable' local pre-Leibniz algebroids and admissible connections ⋮ Omni n-Lie algebras and linearization of higher analogues of Courant algebroids ⋮ Metric-connection geometries on pre-Leibniz algebroids: A search for geometrical structure in string models

Cites Work

• \({E_d}_{(d)}\times \mathbb{R}^{+}\) generalised geometry, connections and M theory
• The supergeometry of Loday algebroids
• Leibniz algebroids, twistings and exceptional generalized geometry
• NS-NS fluxes in Hitchin's generalized geometry
• On higher analogues of Courant algebroids
• Generalized complex geometry
• Brackets, forms and invariant functionals
• Lie algebroids, holonomy and characteristic classes
• Supergravity as generalised geometry I: type II theories
• Branes on Poisson varieties

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