Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605897 | Differential Geometry and its Applications | 2015 | 12 Pages |
Abstract
Based on the previous researches, in this paper the dual flatness of a special class of Finsler metrics called general (α,β)(α,β)-metrics, which is defined by a Riemannian metric α and a 1-form β, is studied. A characterization for such metrics to be locally dually flat under some suitable conditions is provided. Many non-trivial explicit examples are constructed by a new kind of deformation technique. Moreover, the relationship of dual flatness and projective flatness of such metrics is shown.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Changtao Yu,