Projectively Ricci-flat General(α,β)-metrics  

作　　者：Esra Sengelen SEVIM 

机构地区：[1]Department of Mathematics,Istanbul Bilgi University,34060,Eski Silahtaraga Elektrik Santrali,Kazim Karabekir Cad.No:2/13 Eyupsultan,Istanbul,Turkey

出　　处：《Acta Mathematica Sinica,English Series》2024年第6期1409-1419,共11页数学学报（英文版）

摘　　要：In this paper,we study the projectively Ricci-flat general(α,β)-metrics within to a spray framework and also bring out the rich variety of behaviour displayed by an important projective invariant.Projective Ricci curvature is one of the essential projective invariant in Finsler geometry which has been introduced by Z.Shen.The projective Ricci curvature is defined as Ricci curvature of a projective spray associated with a given spray G on M^(n) with a volume form dV on M^(n).

关 键 词：Finsler metrics general(α β)-metrics projective Ricci curvature 

分 类 号：O186[理学—数学]