{"paper":{"title":"Generalized $\\beta$-conformal change and special Finsler spaces","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.DG","authors_text":"Nabil L. Youssef, S. G. Elgendi, S. H. Abed","submitted_at":"2010-04-30T09:11:16Z","abstract_excerpt":"In this paper, we investigate the change of Finslr metrics $$L(x,y) \\to\\bar{L}(x,y) = f(e^{\\sigma(x)}L(x,y),\\beta(x,y)),$$ which we refer to as a generalized $\\beta$-conformal change. Under this change, we study some special Finsler spaces, namely, quasi C-reducible, semi C-reducible, C-reducible, $C_2$-like, $S_3$-like and $S_4$-like Finsler spaces. We also obtain the transformation of the T-tensor under this change and study some interesting special cases. We then impose a certain condition on the generalized $\\beta$-conformal change, which we call the b-condition, and investigate the geomet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.5478","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}