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The weakly generalized unicorns in Finsler geometry

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摘要 We classify the almost regular weakly stretch non-Randers-type(α,β)-metrics with vanishing Scurvature.In the class of regular metrics,they reduce to Berwald ones.Here,we demonstrate that when an almost regular weakly stretch non-Randers-type(α,β)-metric with vanishing S-curvature is not Berwaldian,then it is a weakly generalized unicorn.This yields an extension of Zou-Cheng and Chen-Liu’s theorems.Finally,we show that any projective non-Randersβ-change of a unicorn is a unicorn.
出处 《Science China Mathematics》 SCIE CSCD 2021年第9期2065-2076,共12页 中国科学:数学(英文版)
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