具有(α,β)-度量的Douglas型Finsler空间
Finsler Spaces of Douglas Type with Certain(α,β)-metric
摘要
研究具有某种(α,β)-度量的Finsler空间的几何性质,给出这类Finsler空间成为Douglas空间的一些充分必要条件。
This paper studies the geometry of Finsler spaces with certain（α,β）-metric. Some sufficient and necessary conditions on which Finsler spaces turn into Finsler spaces of Douglas type are obtained.
出处
《丽水学院学报》
2015年第5期1-9,共9页
Journal of Lishui University
基金
丽水学院课堂教学改革一般项目(15KY16)
参考文献11
-
1BACSO S, MATSUMOTO M. On Finsler spaces of Douglas type. A generalization of the nation of Berwald space [J]. Publ Math Debrecen, 1997,51(2) :385-406.
-
2MATSUMOTO M. Projective changes of Finsler metric and projective flat Finsler spaces [J]. Tensor N S, 1980,34( 2 ):303-315.
-
3ANTONELLI P L, INGARDEN R S, MATSUMOTO M.The theory of sprays and Finsler spaces with applications in physics and biology [M]. Kluwer Acad, Dordecht, 1993.
-
4MATSUMOTO M. Finsler spaces with (α,β)-metric of Douglas type [J]. Tensor N S, 1998,60( 1 ):123-134.
-
5SHEN Z M, YILDIRIM G C. On a class of prejectively flat metrics with constant flag curvature [J]. Canadian Journal of Mathematics, 2008,60(3 ) : 443-456.
-
6YANG C H, MO X H, SHEN Z M. Construct of some prejectively flat Finsler metric [J]. Scince of China (series A ), 2006, 36( 1 ): 121-133.
-
7BAO D, CHERN S S, SHEN Z M. An Introduction to Riemann-Finsler Geometry[M]. GTM200, Springer-Verlag, 2000:431.
-
8HASHIGUCHI M, HOJO S, MATSUMOTO M. Landsberg spaces of dimension two with (α,β)-metric [J]. Tensor N S, 1996,57 ( 1 ) : 145-153.
-
9KIKUCHI S. On the condition that a space with (α,β)-metric be locally Minkowskian [J]. Tensor N S, 1979,33(2) :42-46.
-
10SHEN Z M. Landsberg curvature, S curvature and curvature [M]. MSRI Series, Vol 50. Cambridge: Cambridge University Press, 2004.
-
1杨国俊.一个联络在具有(α,β)度量的Finsler空间中的应用[J].西南师范大学学报（自然科学版）,2000,25(3):216-220.
-
2张剑锋.关于一类(α,β)型Douglas度量[J].丽水学院学报,2013,35(5):5-11.
-
3程新跃,沈玉玲,马小玉.从Berwald空间到Riemann空间的射影变换[J].重庆理工大学学报（自然科学）,2016,30(1):107-110.
-
4刘佑林.关于Szabó刚性定理的注记(英文)[J].南开大学学报（自然科学版）,2010,43(3):108-109.
-
5魏献祝.特殊Finsler空间的测地映射[J].厦门大学学报（自然科学版）,2005,44(2):151-154.
-
6邓少强.Berwald空间的一个新判别法(英文)[J].南开大学学报（自然科学版）,2006,39(4):47-49.
