On the flag curvature of invariant (α,β)-metrics
2016 ◽
Vol 13
(04)
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pp. 1650039
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Keyword(s):
In this paper, we consider invariant [Formula: see text]-metrics which are induced by invariant Riemannian metrics [Formula: see text] and invariant vector fields [Formula: see text] on homogeneous spaces. We study the flag curvatures of invariant [Formula: see text]-metrics. We first give an explicit formula for the flag curvature of invariant [Formula: see text]-metrics arising from invariant Riemannian metrics on homogeneous spaces and Lie groups. We then give some explicit formula for the flag curvature of invariant Matsumoto metrics, invariant Kropina metrics and invariant Randers metrics.
Keyword(s):
1982 ◽
Vol 271
(2)
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pp. 525-525
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Keyword(s):
1986 ◽
Vol 6
(5)
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pp. 329-335
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Keyword(s):
2011 ◽
Vol 61
(2)
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pp. 498-515
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Keyword(s):
1986 ◽
Vol 7
(3)
◽
pp. 213-216
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Keyword(s):
2020 ◽
Vol 17
(08)
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pp. 2050117
Keyword(s):
2012 ◽
Vol 62
(6)
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pp. 1532-1547
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