Hitchhiker’s guide to Courant algebroid relations
نویسندگان
چکیده
منابع مشابه
Courant algebroid and Lie bialgebroid contractions
Contractions of Leibniz algebras and Courant algebroids by means of (1,1)-tensors are introduced and studied. An appropriate version of Nijenhuis tensors leads to natural deformations of Dirac structures and Lie bialgebroids. One recovers presymplectic-Nijenhuis structures, PoissonNijenhuis structures, and triangular Lie bialgebroids as particular examples. MSC 2000: Primary 17B99; Secondary 17...
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This note aims to demonstrate that every parabolic geometry has a naturally defined per-Courant algebröıd structure. If the geometry is regular, this structure is a Courant algebröıd if and only if the the curvature κ of the Cartan connection vanishes. This note assumes familiarity with both parabolic geometry, and Courant algebröıds. See [ČS00] and [ČG02] for a good introduction to the first c...
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We establish some fundamental relations between Dirac subbundles L for the generalized Courant algebroid (A⊕A, φ+W ) over a differentiable manifold M and the associated Dirac subbubndles L̃ for the corresponding Courant algebroid Ã⊕ Ã over M × IR.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2020
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2020.103635