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.

DOI: 10.14232/actasm-017-777-8

AMS Subject Classification (1991): 53D10

Keyword(s): generalized almost contact structure, Lie algebroid, metric structure, normality conditions

Received April 24, 2017, and in revised form September 21, 2017. (Registered under 27/2017.)