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$K$-contact generalized square Finsler manifolds | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 4، دوره 5، شماره 4، 2024، صفحه 329-336 اصل مقاله (425.14 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2023.22528.1166 | ||
| نویسندگان | ||
| Hannaneh Faraji؛ Behzad Najafi Saghezchi* ؛ Tayebeh Tabatabaeifar | ||
| Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran | ||
| 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 | ||
| مراجع | ||
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[10] E. Peyghan and A. Tayebi, Almost paracontact structure in Finslerian indicatrix, An. S¸tiint¸. Univ. “Ovid[1]ius” Constant¸a Ser. Mat., 19 (2011), pp. 151–162.
[11] Z. Shen, Differential geometry of spray and Finsler spaces, Kluwer Academic Publishers, Dordrecht, 2001.
[12] T. Tabatabaeifar, B. Najafi, and M. Rafie-Rad, On almost contact Finsler structures, Int. J. Geom. Methods Mod. Phys., 17 (2020), pp. 2050126, 15. | ||
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