On generalized Berwald manifolds with relatively isotropic Landsberg curvature
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,...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2025-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_3709_d491ee48b6ef3ffc05c5d165773c3bb2.pdf |
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| _version_ | 1849428062466211840 |
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| author | Akbar Tayebi |
| author_facet | Akbar Tayebi |
| author_sort | Akbar Tayebi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-da3c917508404a008e7daadc2a0ce3ba |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-da3c917508404a008e7daadc2a0ce3ba2025-08-20T03:28:48ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662025-06-0114111912710.22098/jhs.2025.16376.10613709On generalized Berwald manifolds with relatively isotropic Landsberg curvatureAkbar Tayebi0Department of Mathematics, Faculty of Science, University of Qom, Qom, IranThe 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.https://jhs.uma.ac.ir/article_3709_d491ee48b6ef3ffc05c5d165773c3bb2.pdfgeneralized berwald manifoldrelatively isotropic landsberg curvatures-curvature |
| spellingShingle | Akbar Tayebi On generalized Berwald manifolds with relatively isotropic Landsberg curvature Journal of Hyperstructures generalized berwald manifold relatively isotropic landsberg curvature s-curvature |
| title | On generalized Berwald manifolds with relatively isotropic Landsberg curvature |
| title_full | On generalized Berwald manifolds with relatively isotropic Landsberg curvature |
| title_fullStr | On generalized Berwald manifolds with relatively isotropic Landsberg curvature |
| title_full_unstemmed | On generalized Berwald manifolds with relatively isotropic Landsberg curvature |
| title_short | On generalized Berwald manifolds with relatively isotropic Landsberg curvature |
| title_sort | on generalized berwald manifolds with relatively isotropic landsberg curvature |
| topic | generalized berwald manifold relatively isotropic landsberg curvature s-curvature |
| url | https://jhs.uma.ac.ir/article_3709_d491ee48b6ef3ffc05c5d165773c3bb2.pdf |
| work_keys_str_mv | AT akbartayebi ongeneralizedberwaldmanifoldswithrelativelyisotropiclandsbergcurvature |