ON CONFORMALLY BERWALD M-TH ROOT (α, β)-METRICS
Keyword(s):
In this paper, we study the class of $m$-th root (α, β)-metrics which is a significant class mixed of two classes of metrics: $m$-th root metrics and (α, β)-metrics. First, we find the necessary and sufficient condition under which the quartic (α, β)-metrics are conformally Berwald. Then, we find the necessary and sufficient condition under which the cubic (α, β)-metrics are conformally Berwald. Finally, we construct some conformal Finslerian invariants.
1997 ◽
Vol 56
(3)
◽
pp. 395-401
◽
2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
◽