2012
DOI: 10.1007/s11856-012-0036-x
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A class of Einstein (α, β)-metrics

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Cited by 42 publications
(48 citation statements)
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“…So far, we only know that if an Einstein (α, β)-metric is defined by a non-linear polynomial φ = k i=1 a i s i , then it must be Ricci-flat ( [3]). …”
Section: Introductionmentioning
confidence: 99%
“…So far, we only know that if an Einstein (α, β)-metric is defined by a non-linear polynomial φ = k i=1 a i s i , then it must be Ricci-flat ( [3]). …”
Section: Introductionmentioning
confidence: 99%
“…That is to say, general (α, β)-metrics make up of a much large class of Finsler metrics, which makes it possible to find out more Finsler metrics to be of great properties. For example, in (α, β)-metric we can't find out any non-Ricci flat Einstein metric unless it is of Randers type [8]. The main reason is that the category of (α, β) metrics is a little small.…”
Section: H Zhumentioning
confidence: 99%
“…The concept of , − was introduced in 1972 by M. Matsumoto and studied by many authors like ( [4], [5], [9], [6], [10], [2]). The …”
Section: Preliminariesmentioning
confidence: 99%