The weakly generalized unicorns in Finsler geometry  

作　　者：Akbar Tayebi Behzad Najafi 

机构地区：[1]Department of Mathematics,Faculty of Science,University of Qom,Qom,3716146611,Iran [2]Department of Mathematics and Computer Science,Amirkabir University of Technology(Tehran Polytechnic),Tehran,1591634311,Iran

出　　处：《Science China Mathematics》2021年第9期2065-2076,共12页中国科学：数学（英文版）

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.

关 键 词：UNICORN weakly stretch metric Berwald metric projective metric 

分 类 号：O186.12[理学—数学]