The maximum diam theorem on Finsler manifolds
نویسندگان
چکیده
منابع مشابه
Galloway’s compactness theorem on Finsler manifolds
The compactness theorem of Galloway is a stronger version of the Bonnet-Myers theorem allowing the Ricci scalar to take also negative values from a set of real numbers which is bounded below. In this paper we allow any negative value for the Ricci scalar, and adding a condition on its average, we find again that the manifold is compact and provide an upper bound of its diameter. Also, with no c...
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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: The Journal of Geometric Analysis
سال: 2021
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-021-00715-z