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PDF(440 KB)
PDF(440 KB)
具迷向S-曲率的Randers度量
On Randers Metrics of Isotropic S-Curvature
Randers度量 / 旗曲率 / S-曲率 {{custom_keyword}} /
Randers metrics / flag curvature / S-curvature {{custom_keyword}} /
[1] Shen Z., Volume compsrison and its applications in Riemann-Finsler geometry, Adv. in Math., 1997, 128: 306--328.
[2] Cheng X., Mo X., Shen Z., On the flag curvature of Finsler metrics of scalar curvature, J. London. Math. Soc., 2003, 68(2): 762--780.
[3] Shen Z., Differential geometry of spray and Finsler spaces, Kluwer Academic Publishers, Dordrecht, 2001.
[4] Shen Z., Landsberg Curvature, S-Curvature and Riemann Curvature, In: A Sampler of Riemann-Finlser Geometry, MSRI Publications, Vol.50, Cambridge Univ. Press, 2004.
[5] Shen Z., Finsler metrics with K=0 and \bf S=0, Canad. J. Math., 2003, 55(1): 112--132.
[6] Cheng X., Shen, Z., Randers metrics with special curvature properties, Osaka J. Math., 2003, 40: 87--101.
[7] Xing H., The geometric meaning of Randers metrics with isotropic S-curvature, Adv. Math (China), accepted.
[8] Bao D., Robles C., Shen Z., Zermelo navigation on Riemannian manifolds, J. Diff. Geom., 2004, 66: 391--449.
[9] Cheng X., Shen Z., Randers metrics of sclalar flag curvature, to appear. indent=6mm
[10] Shen Z., Xing H., On Randers metrics of isotropic \bf S-curvature, Acta Mathematica Sinica, English Series, 2008, 24(5): 789--796.
[11] Shen Y., General solutions of some differential equations on Riemannian manifolds, J. of Math. Res. Exp., 1982, 2: 55--60 (in Chinese).
[12] Mo X., Yang C., The explicit construction of Finsler metrics with special curvature properties, Diff. Geom. and its Appli., 2006, 24(2): 119--129.
[13] Shen Z., Projectively flat Randers metrics with constant flag curvature, Math. Ann., 2003, 325: 19--30.
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