Projective change between arbitrary (α, β)-metric and Randers metric

被引：2

作者：

Zheng, Daxiao ^{[1
]}

He, Qun ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2013年 / 83卷 / 1-2期

关键词：

Finsler metric; projective change; Randers metric; Douglas metric;

D O I：

10.5486/PMD.2013.5619

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a special class of Finsler metrics: (alpha, beta)-metric, and obtain some necessary and sufficient conditions for them to be projectively or Douglas related to Randers metric.

引用

页码：179 / 196

页数：18

共 50 条

[11] Submaximal metric projective and metric affine structures
Kruglikov, Boris
Matveev, Vladimir
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2014, 33 : 70 - 80
[12] Projective and metric geometry
Wilson, EB
[J]. ANNALS OF MATHEMATICS, 1903, 5 : 145 - 150
[13] An Alternative Variational Principle for Geodesics of a Randers Metric
Masiello, Antonio
[J]. ADVANCED NONLINEAR STUDIES, 2009, 9 (04) : 783 - 801
[14] Relations between the projective and metric differential geometries of surfaces
Albert, OW
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1933, 55 : 181 - 196
[15] Minimal surfaces of rotation in Finsler space with a Randers metric
Souza, M
Tenenblat, K
[J]. MATHEMATISCHE ANNALEN, 2003, 325 (04) : 625 - 642
[16] Projective versus metric structures
Nurowski, Pawel
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2012, 62 (03) : 657 - 674
[17] Projective metric number theory
Ghosh, Anish
Haynes, Alan
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2016, 712 : 39 - 50
[18] CONCEPT OF PROJECTIVE METRIC PLANES
STRUVE, H
STRUVE, R
[J]. ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1988, 34 (01): : 79 - 88
[19] A class of Finsler metrics projectively related to a Randers metric
Chen, Guangzu
Cheng, Xinyue
[J]. PUBLICATIONES MATHEMATICAE-DEBRECEN, 2012, 81 (3-4): : 351 - 363
[20] Minimal surfaces of rotation in Finsler space with a Randers metric
Marcelo Souza
Keti Tenenblat
[J]. Mathematische Annalen, 2003, 325 : 625 - 642

← 1 2 3 4 5 →