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In this paper, we study a class of Finsler metrics called general $\ab$-metrics, which are defined by a Riemannian metric $\a$ and a $1$-form $\b$. We show that every general $\ab$-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropic Berwald general $\ab$-metrics are constructed explicitly.
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참고문헌 (20)
참고문헌 신청
A. Tayebi / 2008 / S-curvature of isotropic Berwald metrics / Sci. China Ser. A 51 (12) : 2198 ~ 2204
A. Tayebi / 2012 / On isotropic Berwald metric / Ann. Polon. Math 103 (2) : 109 ~ 121
B. Li / 2012 / Projectively flat fourth root Finsler metrics / Can. Math. Bull 55 (1) : 138 ~ 145
C. Yu / 2011 / On a new class of Finsler metrics / Differential Geom. Appl 29 (2) : 244 ~ 254
C. Yu / 2015 / Projectively flat general (α, β)-metrics with constant flag curvature / J. Math. Anal. Appl 429 (2) : 1222 ~ 1239
A. Tayebi / 2012 / On isotropic Berwald metric / Ann. Polon. Math 103 (2) : 109 ~ 121
B. Li / 2012 / Projectively flat fourth root Finsler metrics / Can. Math. Bull 55 (1) : 138 ~ 145
C. Yu / 2011 / On a new class of Finsler metrics / Differential Geom. Appl 29 (2) : 244 ~ 254
C. Yu / 2015 / Projectively flat general (α, β)-metrics with constant flag curvature / J. Math. Anal. Appl 429 (2) : 1222 ~ 1239
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