The Existence of Two Homogeneous Geodesics in Finsler Geometry
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The existence of a homogeneous geodesic in homogeneous Finsler manifolds was positively answered in previous papers. However, the result is not optimal. In the present paper, this result is refined and the existence of at least two homogeneous geodesics in any homogeneous Finsler manifold is proved. In a previous paper, examples of Randers metrics which admit just two homogeneous geodesics were constructed, which shows that the present result is the best possible.
2020 ◽
Vol 17
(08)
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pp. 2050126
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2016 ◽
Vol 14
(01)
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pp. 1750008
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2012 ◽
Vol 09
(04)
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pp. 1250034
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2012 ◽
Vol 23
(06)
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pp. 1250063
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2012 ◽
Vol 09
(07)
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pp. 1250061
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2012 ◽
Vol 54
(3)
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pp. 637-645
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