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On the generalized Randers change of Berwald metrics
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In this paper, we study the generalized Randers change *L(x,y)=L(x,y) + bi(x,y) yi from the Brewald metric L and the h-vector bi. And in search for a non-Berwald Landsberg metric,we obtain the conditions on bi(x,y) under which *L is a Landsberg metric.
Abstract
In this paper, we study the generalized Randers change *L(x,y)=L(x,y) + bi(x,y) yi from the Brewald metric L and the h-vector bi. And in search for a non-Berwald Landsberg metric,we obtain the conditions on bi(x,y) under which *L is a Landsberg metric.
참고문헌 (12)
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- V.S. Matveev, "All regular Landsber metris are Berwald" (2008)
- B.N. Prasad, "On the torsion tensors Rhjk and Phjk of Finsler spaces with a metric ds = (gij(dx)dxidxj)1", 2+bi(x,y)dxi, 1990, pp.21, 27~39
- Z. I. Szabo, "All regular Landsber metris are Berwald", Ann. Global. Anal. Geom., 38, pp.381~386 (2008)
- Z. Shen, "On Landsberg (α, β) metrics" (2006)
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