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General $(\alpha,\beta)$-metrics form a rich and important class of Finsler metrics. In this paper, we obtain a differential equation which characterizes a general $(\alpha,\beta)$-metric with isotropic $E$-curvature, under a certain condition. We also solve the equation in a particular case.
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참고문헌 (13)
참고문헌 신청
X. Chen / 2005 / On Douglas metrics / Publ. Math. Debrecen 66(3-4):503~512
Y. Chen / 2015 / Spherically symmetric Finsler metrics with isotropic Ecurvature / J. Math. Res. Appl. 35(5):561~567
S.-S. Chern / 1996 / Finsler geometry is just Riemannian geometry without the quadratic restriction / Notices Amer. Math. Soc. 43(9):959~963
B. Li / 2012 / Projectively flat fourth root Finsler metrics / Canad. Math. Bull. 55(1):138~145
S. F. Rutz / 1995 / Symmetry in Finsler spaces, Contemp. Math., 196 :289~300
Y. Chen / 2015 / Spherically symmetric Finsler metrics with isotropic Ecurvature / J. Math. Res. Appl. 35(5):561~567
S.-S. Chern / 1996 / Finsler geometry is just Riemannian geometry without the quadratic restriction / Notices Amer. Math. Soc. 43(9):959~963
B. Li / 2012 / Projectively flat fourth root Finsler metrics / Canad. Math. Bull. 55(1):138~145
S. F. Rutz / 1995 / Symmetry in Finsler spaces, Contemp. Math., 196 :289~300
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