$K$-contact generalized square Finsler manifolds

نویسندگان
Faraji, Hannaneh ID 1
Najafi Saghezchi, Behzad ID 2
Tabatabaeifar, Tayebeh ID 3

1 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran

2 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran

3 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran

doi
10.22060/ajmc.2023.22528.1166
چکیده

We study almost contact generalized square Finsler manifolds and introduce the notion of $K$-contact Finsler structures. Then, we characterize generalized square $K$-contact almost contact manifolds. As an application, we show that every $3$-dimensional Lie group admits a left-invariant generalized square Finsler structure.

کلیدواژه‌ها
Almost contact Finsler manifolds, Randers metrics, $K$-contact metrics, unimodular Lie groups, non-unimodular Lie groups