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
uira.almeida@alumni.usp.br
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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