ON THE CONFORMAL CHANGE OF DOUGLAS SPACE OF SECOND KIND WITH CERTAIN (,)-METRICS

ON THE CONFORMAL CHANGE OF DOUGLAS SPACE OF SECOND KIND WITH CERTAIN (,)-METRICS
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具有一定(,)-度量的第二类道格拉斯空间的共形变换

DOI:
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发表时间:
2015
期刊:
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通讯作者:
D. Choudhary
D. Choudhary
中科院分区:
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文献类型:
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作者:
G. Shanker;D. Choudhary

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I.Y.定义了具有(?,?)-度量的第二类道格拉斯空间.李(7)。本文证明了具有(?,?)-度量的第二类道格拉斯空间共形变换为第二类道格拉斯空间.进一步,我们得到了Finsler空间与松本和广义Kropina度量的共形变换是第二类道格拉斯空间的条件.
The Douglas space of second kind with an (�,�)-metric was defined by I.Y. Lee (7). In this paper, we prove that a Douglas space of second kind with an (�,�)-metric is conformally transformed to a Douglas space of second kind. Further, we find the conditions under which the conformal change of Finsler space with Matsumoto and generalized Kropina metric is of Douglas space of second kind.