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On generalized Berwald manifolds with relatively isotropic Landsberg curvature | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 اسفند 1403 اصل مقاله (1.61 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16376.1061 | ||
| نویسنده | ||
| Akbar Tayebi* | ||
| Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran | ||
| چکیده | ||
| The class of generalized Berwald metrics contains the class of Berwald metrics as a special case. Let F= αΦ(s), s=β/α, be a generalized Berwald (α, β)-metric on manifold M. We show that F has vanishing S-curvature S=0 and is of relatively isotropic Landsberg curvature L+ cFC=0 if and only if B=0, where c=c(x) is a scalar function on M. | ||
| کلیدواژه‌ها | ||
| Generalized Berwald manifold؛ relatively isotropic Landsberg curvature؛ S-curvature | ||
| مراجع | ||
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