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具有近迷向旗曲率K=(3c_(x^i)y^i)/F+σ的(α,β)度量(英文)

(α,β)-metric With Almost Isotropic Flag Curvature K=(3c_(x^i)y^i)/F+σ
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摘要 本文研究了一类特殊的芬斯勒度量——具有近迷向旗曲率K=(3c_(x^i)y^i)/F+σ的(α,β)度量,并得到了一些结果. In this paper, we study a special class of Finsler metrics -(α,β)-metric, and find some properties when its flag curvature satisfies K=3cxiyi/F+σ .
作者 郑大小 贺群
机构地区 同济大学数学系
出处 《数学进展》 CSCD 北大核心 2015年第4期599-606,共8页 Advances in Mathematics(China)
基金 Supported by NSFC(No.11471216)
关键词 芬斯勒度量 旗曲率 RANDERS度量 近迷向 Finsler metric flag curvature Randers metric almost isometric
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参考文献12

  • 1Bgcse, S., Cheng, X.Y. and Shen, Z.M., Curvature properties (c,/3)-metric, Adv. Stud. Pure Math., 2007 48: 73-110.
  • 2Bao, D., Chern, S.S. and Shen, Z.M., An Introduction to Riemann-Finsler Geometry, Grad. Texts in Math. Vol. 200, New York: Springer-Verlag, 2000.
  • 3Bao, D. and Robles, C., On Randers metrics o constant curvature, Rep. Math. Phys., 2003, 51(1): 9-42.
  • 4Bao, D., Robles, C. and Shen, Z.M., Zermelo navigation on Riemannian manifolds, J. Differential Geom. 2004, 66(3): 377-435.
  • 5Cheng, X.Y., Mo, X.H. and Shen, Z.M., On the flag curvature of Finsler metrics of scalar curvature, J London Math. Soc., 2003, 68(3): 762-780.
  • 6Cheng, X.Y. and Shen, Z.M., Randers metrics with special curvature properties, Osaka J. Math., 2003, 40(1) 87-101.
  • 7Cheng, X.Y. and Shen, Z.M., A class of Finsler metrics with isotropic S-curvature, Israel J. Math., 2009 169(1): 317-340.
  • 8Chern, S.S. and Shen, Z.M., Riemann-Finsler Geometry, Singapore: World Scientific, 2005.
  • 9Matsumoto, M., Randers spaces of constant curvature, Rep. Math. Phys., 1989, 28(2): 249-261.
  • 10Shen, Z.M., Finsler metrics with /C : 0 and S = 0, Canadian J. Math., 2003, 55: 112-132.

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