|
Современная математика и ее приложения, 2015, том 97, статья опубликована в англоязычной версии журнала
(Mi cma416)
|
|
|
|
Properties of the riemannian curvature of $(\alpha,\beta)$-metrics
X. Cheng Chongqing University of Technology
Аннотация:
In this paper, we discuss some important properties of the
Riemannian curvature of $(\alpha,\beta)$-metrics. When the
dimension of the manifold is greater than 2, we classify Randers
metrics of weakly isotropic flag curvature (that is, Randers
metrics of scalar flag curvature with isotropic $S$-curvature).
Further, we characterize $(\alpha,\beta)$-metrics of scalar flag
curvature with isotropic $S$-curvature. We also characterize
Einstein $(\alpha,\beta)$-metrics and determine completely the
local structure of Ricci-flat Douglas $(\alpha,\beta)$-metrics
when the dimension $\dim M\geq 3$.
Образец цитирования:
X. Cheng, “Properties of the riemannian curvature of $(\alpha,\beta)$-metrics”, Journal of Mathematical Sciences, 218:6 (2016), 724–730
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cma416
|
Статистика просмотров: |
Страница аннотации: | 68 |
|