Finsler conformal transformations and the curvature invariances
文献类型：期刊论文
| 作者 | Basco, Sandor; Cheng, Xinyue |
| 刊名 | Publicationes mathematicae-debrecen
 |
| 出版日期 | 2007 |
| 卷号 | 70期号:1-2页码:221-231 |
| 关键词 | Conformal transformation Riemann curvature Ricci curvature Landsberg curvature S-curvature |
| ISSN号 | 0033-3883 |
| 通讯作者 | Basco, sandor(bacsos@inf.unideb.hu) |
| 英文摘要 | This article studies the global conformal transformations f on a finsler space (m,f), which satisfy f*f = e(c(x))f, where f := f(x,y) is a finsler metric on m and x is an element of m, y is an element of txm \ {0}. we obtain the relations between some important geometric quantities of f and their correspondences respectively, including riemann curvatures, ricci curvatures, landsberg curvatures, mean landsberg curvatures and s-curvatures. then, we discuss the properties of those conformal transformations on (m, f) which preserve ricci curvature, landsberg curvature, mean landsberg curvature and s-curvature respectively. |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000243853900015 |
| 出版者 | KOSSUTH LAJOS TUDOMANYEGYETEM |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2380905 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Basco, Sandor |
| 作者单位 | 1.Univ Debrecen, Fac Informat, H-4010 Debrecen, Hungary 2.Chongqing Inst Technol, Dept Math, Chongqing 400050, Peoples R China |
| 推荐引用方式 GB/T 7714 | Basco, Sandor,Cheng, Xinyue. Finsler conformal transformations and the curvature invariances[J]. Publicationes mathematicae-debrecen,2007,70(1-2):221-231. |
| APA | Basco, Sandor,&Cheng, Xinyue.(2007).Finsler conformal transformations and the curvature invariances.Publicationes mathematicae-debrecen,70(1-2),221-231. |
| MLA | Basco, Sandor,et al."Finsler conformal transformations and the curvature invariances".Publicationes mathematicae-debrecen 70.1-2(2007):221-231. |
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来源：中国科学院大学
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