






















In this work, the dual flatness, which is connected with Statistics and Information geometry, of general $(α,β)$-metrics (a new class of Finsler metrics) is studied. A nice characterization for such metrics to be dually flat under some suitable conditions is provided and all the solutions are completely determined. By using an original kind of metrical deformations, many non-trivial explicit examples are constructed. Moreover, the relationship of dual flatness and projective flatness of such metrics is shown.
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。