Generalized almost contact structures on Lie algebroids

Peyghan, E. and Arcus, C. and Baghban, A. and Sharahi, E.: Generalized almost contact structures on Lie algebroids. Acta scientiarum mathematicarum, (84) 3-4. pp. 687-704. (2018)

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Abstract

We consider the direct sum of a Lie algebroid structure with its dual space and equip this bigger space with a contact form called the generalized almost contact structure and characterize these in the sense of contact morphisms. Attaching an almost generalized complex structure, we recover properties as normality conditions in a direct way and study some aspects of metrical kind of this spaces.

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