There are no proper Berwald-Einstein manifolds

被引：6

作者：

Deng, Shaoqing ^{[1
,2
]}

Kertesz, David Csaba ^{[3
]}

Yan, Zaili ^{[1
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[3] Univ Debrecen, Inst Math, H-4010 Debrecen, Hungary

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2015年 / 86卷 / 1-2期

基金：

匈牙利科学研究基金会;

关键词：

Finsler spaces; Berwald metric; Ricci curvature; METRICS;

D O I：

10.5486/PMD.2015.7102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a connected Berwald Einstein manifold is either Riemannian or Ricci-flat.

引用

页码：245 / 249

页数：5

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