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On Cartan torsion of 4-dimensional Finsler manifolds | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 1، شهریور 2024، صفحه 134-141 اصل مقاله (268.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.15204.1019 | ||
| نویسنده | ||
| Akbar Tayebi* | ||
| Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran | ||
| چکیده | ||
| There are several non-Riemannian curvatures in Finsler geometry which show the complexity of Finsler geometry with respect to Riemannian geometry. Amon these quantities, the Cartan and mean Cartan torsion have very important and brilliant positions. In this paper, we find the necessary and sufficient condition under which a 4-dimensional Finsler manifold is C-reducible. Also, we find the necessary and sufficient condition under which a 4-dimensional Finsler manifold has vanishing ${\bar I}$-curvature. | ||
| کلیدواژه‌ها | ||
| Cartan torsion؛ mean Cartan torsion؛ C-reducible metric | ||
| مراجع | ||
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