Journal of Lie Theory

no. 1
Generalized k-Contact Structures
Journal of Lie Theory, Volume 34 (2024) no. 1, pp. 113-136
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.
DOI: 10.5802/jolt.1329
Classification: 53C15, 53C30, 37D20
Keywords: Algebraic actions, Anosov dynamics, contact structures 
@article{JOLT_2024_34_1_a5,
     author = {U. N. Matos de Almeida},
     title = {Generalized {k-Contact} {Structures}},
     journal = {Journal of Lie Theory},
     pages = {113--136},
     year = {2024},
     volume = {34},
     number = {1},
     doi = {10.5802/jolt.1329},
     zbl = {1554.22010},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1329/}
}
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U. N. Matos de Almeida. Generalized k-Contact Structures. Journal of Lie Theory, Volume 34 (2024) no. 1, pp. 113-136. doi: 10.5802/jolt.1329

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