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一类新的射影平坦的Finsler度量

Keywords: 射影平坦,,β)度量,广义(α,β)度量,Finsler几何

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Abstract:

利用Hamel射影平坦方程获得了一类新的Finsler度量F=αФ(b2,s)在开子集URn上射影平坦的充要条件,此类度量包含了由Bryant构造的Sn上具有正常旗曲率K=1,且测地线为大圆周的Finsler度量.

References

[1]  CHERN Shiing-shen,SHEN zhong-min.Riemann-Finsler geometry[M].Singapore:World Scientific,2005.
[2]  黄利兵.Finsler流形的导航问题及其应用[D].北京:北京大学数学科学学院,2008.HUANG Li-bing.Navigation problem on Finsler manifolds and its applications[D].Beijing:Peking University of School ofMathematical Sciences,2008.(in Chinese)
[3]  HAMEL G..U.ber die Geometrieen in denen die Geraden die K.u.rzesten sind[J].Math Ann,1903,57(2):231-264.
[4]  SHEN Zhong-min,YILDIRIMG C.On a class of projectively flat metrics with constant flag curvature[J].Can J Math,2008,60(2):443-456.
[5]  SHEN Zhong-min.On projectively flat(α,β)-metrics[J].Can Math Bull,2009,52(1):132-144.
[6]  余昌涛.一类新的度量形变及其在Finsler几何中的应用[D].北京:北京大学数学科学学院,2009.YU Chang-tao.A newclass of metric deformations and theirs applications in Finsler geometry[D].Beijing:Peking Universityof School of Mathematical Sciences,2009.(in Chinese)
[7]  BRYANTR.Projectively flat Finsler 2-sphere of constant curvature[J].Selecta Mathematica:NS,1997,3(2):161-204.
[8]  BRYANTR.Some remarks on Finsler manifolds with constant flag curvature[J].Houston J Math,2002,28(2):221-262.
[9]  BRYANT R.Finsler structures on the 2-spheres satisfyingK=1[J].Contemporary Mathematics 196:Finsler Geometry,1996:27-42.

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