Geodesic
Generalized k-Contact Structures
Uirá N. Matos de Almeida1
1Instituto Federal do Norte de Minas Gerais, Porteirinha, MG, Brazil
Journal of Lie Theory, Tome 34 (2024) no. 1, pp. 113-136

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 53C15, 53C30, 37D20
Mots-clés : Algebraic actions, Anosov dynamics, contact structures

Uirá N. Matos de Almeida  1

1 Instituto Federal do Norte de Minas Gerais, Porteirinha, MG, Brazil 
Uirá N. Matos de Almeida. Generalized k-Contact Structures. Journal of Lie Theory, Tome 34 (2024) no. 1, pp. 113-136. http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a5/
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     title = {Generalized {k-Contact} {Structures}},
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     url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_1_a5/}
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