Projectively flat Finsler metrics defined by the Euclidean metric and related 1-forms
نویسندگان
چکیده
منابع مشابه
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It is the Hilbert’s Fourth Problem to characterize the (not-necessarilyreversible) distance functions on a bounded convex domain in R such that straight lines are shortest paths. Distance functions induced by a Finsler metric are regarded as smooth ones. Finsler metrics with straight geodesics said to be projective. It is known that the flag curvature of any projective Finsler metric is a scala...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2016
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2016.01.007