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Abstract A connected Finsler space ( M , F ) is said to be homogeneous if it admits a transitive connected Lie group G of isometries. A geodesic in a… Click to show full abstract
Abstract A connected Finsler space ( M , F ) is said to be homogeneous if it admits a transitive connected Lie group G of isometries. A geodesic in a homogeneous Finsler space is called homogeneous if it is an orbit of a one-parameter subgroup of G . In this paper, we prove that any homogeneous Finsler space admits at least one homogeneous geodesic through each point.
Keywords:
geodesic homogeneous;
homogeneous finsler;
finsler;
finsler space;
existence homogeneous;
homogeneous geodesic
Journal Title: Journal of Geometry and Physics
Year Published: 2018
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Journal Title: Journal of Geometry and Physics
Year Published: 2018
Link to full text (if available)
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recommendations!