On Negatively Curved Finsler Manifolds of Scalar Curvature
نویسندگان
چکیده
منابع مشابه
On Negatively Curved Finsler Manifolds of Scalar Curvature
In this paper, we prove a global rigidity theorem for negatively curved Finsler metrics on a compact manifold of dimension n ≥ 3. We show that for such a Finsler manifold, if the flag curvature is a scalar function on the tangent bundle, then the Finsler metric is of Randers type. We also study the case when the Finsler metric is locally projectively flat.
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In this paper, Finsler metrics with relatively non-negative (resp. non-positive), isotropic and constant stretch curvature are studied. In particular, it is showed that every compact Finsler manifold with relatively non-positive (resp. non-negative) stretch curvature is a Landsberg metric. Also, it is proved that every (α,β)-metric of non-zero constant flag curvature and non-zero relatively i...
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ژورنال
عنوان ژورنال: Canadian Mathematical Bulletin
سال: 2005
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2005-010-3