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Journal of Lie Theory 34 (2024), No. 1, 113--136
Copyright Heldermann Verlag 2024

Generalized k-Contact Structures

Uirá N. Matos de Almeida
Instituto Federal do Norte de Minas Gerais, Porteirinha, MG, Brazil

With the goal to study and better understand algebraic Anosov actions of Rk, we develop a higher codimensional analogue of the contact distribution on odd dimensional manifolds, call such structure a generalized k-contact structure. We show that there exist an Rk-action associated with this structure, afterwards, we relate this structure with the Weyl chamber actions and a few more general algebraic Anosov actions, proving that such actions admits a compatible generalized k-contact structure.

Keywords: Algebraic actions, Anosov dynamics, contact structures.

MSC: 53C15, 53C30, 37D20.

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