{"paper":{"title":"Projective changes between two Finsler spaces with $(\\alpha, \\beta )$-metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Gauree Shanker, Sruthy Asha Baby","submitted_at":"2017-12-22T07:57:11Z","abstract_excerpt":"In the present paper, we find the conditions to characterize projective change between two $(\\alpha, \\beta)$-metrics, F = $\\alpha + \\epsilon \\beta + k\\frac{\\beta^2}{\\alpha}$ ($\\epsilon$ and k $\\neq$ 0 are constants) and a Matsumoto metric $\\bar{F}=\\frac{\\bar{\\alpha}^2}{\\bar{\\alpha} -\\bar{\\beta}}$ on a manifold with dimension $n \\geq 3$ where $\\alpha$ and $\\bar{\\alpha}$ are two Riemannian metrics, $\\beta$ and $\\bar{\\beta}$ are two non-zero 1-forms. Moreover, we study such projective changes when F has some special curvature properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08333","kind":"arxiv","version":1},"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"}