Correction to “All regular Landsberg metrics are Berwald”
Correction to “All regular Landsberg metrics are Berwald”
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DOI：
10.1007/s10455-008-9131-y
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发表时间：
2009-05
影响因子：
0.7
通讯作者：
Z. Szabó
中科院分区：
文献类型：
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作者：
Z. Szabó
就在最近，发现了标题[发表在Szabó(Ann Glob anal Geom，to Seed，2008)]中的定理证明的不完备性。如果没有这个有问题的部分，这个定理只能以如下的限制形式建立：“正则Finsler度量是Berwald的当且仅当它满足对偶Landsberg条件。”这种不完备性表现在证明原始Landsberg条件蕴含对偶条件。
Just recently, incompleteness in the proof of the theorem appearing in the title [published in Szabó (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.