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Generalized Contact Bundles

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arxiv 1507.03973 v4 pith:T2KH7UBA submitted 2015-07-14 math.DG math-phmath.MPmath.SG

classification math.DGmath-phmath.MPmath.SG
keywords generalizedcontactapproachstructuresadvantagesalgebroidsallowsanalogues
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In this Note, we propose a line bundle approach to odd-dimensional analogues of generalized complex structures. This new approach has three main advantages: (1) it encompasses all existing ones; (2) it elucidates the geometric meaning of the integrability condition for generalized contact structures; (3) in light of new results on multiplicative forms and Spencer operators, it allows a simple interpretation of the defining equations of a generalized contact structure in terms of Lie algebroids and Lie groupoids.

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  1. On Homogeneous K\"ahler Manifolds

    math.DG 2026-08 conditional novelty 6.0 of 10

    Homogeneous Kähler structures on principal R^×-bundles reduce to Sasakian structures exactly when the Euler vector field is pre-geodesic and the line bundle is oriented, and the same dictionary covers co-Kähler struct...

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