All regular Landsberg metrics are Berwald (vol 35, pg 227, 2009)

被引:0
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作者
不详
机构
关键词
Finsler metrics; Landsberg metrics; Berwald metrics;
D O I
10.1007/s10455-008-9131-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Just recently, incompleteness in the proof of the theorem appearing in the title [published in Szabo (Ann Glob Anal Geom, to appear, 2008)] has been discovered. Without this problematic part, the theorem is established only in the following restricted form: "A regular Finsler metric is Berwald if and only if it satisfies the dual Landsberg condition." The incompleteness appears in proving that the original Landsberg condition implies the dual one.
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页码:227 / 230
页数:4
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