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@article{49442, author = {Dušek, Zdeněk}, article_location = {Brno}, article_number = {5}, doi = {http://dx.doi.org/10.5817/AM2018-5-257}, keywords = {Homogneous Finsler space; homogeneous geodesic}, language = {eng}, issn = {0044-8753}, journal = {Archivum Mathematicum}, title = {The affine approach to homogeneous geodesics in homogeneous Finsler spaces}, url = {https://dml.cz/handle/10338.dmlcz/147503}, volume = {54}, year = {2018} }
TY - JOUR ID - 49442 AU - Dušek, Zdeněk PY - 2018 TI - The affine approach to homogeneous geodesics in homogeneous Finsler spaces JF - Archivum Mathematicum VL - 54 IS - 5 SP - 257-263 EP - 257-263 PB - Masarykova Univerzita SN - 00448753 KW - Homogneous Finsler space KW - homogeneous geodesic UR - https://dml.cz/handle/10338.dmlcz/147503 L2 - https://dml.cz/handle/10338.dmlcz/147503 N2 - "In a recent paper it was claimed that any homogeneous Finsler space of odd dimension admits a homogeneous geodesic through any point. However, the proof contains a serious gap. The situation is a bit delicate, because the statement is correct. In the present paper, the incorrect part in this proof is indicated. Further, it is shown that homogeneous geodesics in homogeneous Finsler spaces can be studied by another method developed in earlier works by the author for homogeneous affine manifolds. This method is adapted for Finsler geometry and the statement is proved correctly." ER -
DUŠEK, Zdeněk. The affine approach to homogeneous geodesics in homogeneous Finsler spaces. \textit{Archivum Mathematicum}. Brno: Masarykova Univerzita, vol.~54, No~5, p.~257-263. ISSN~0044-8753. doi:10.5817/AM2018-5-257. 2018.
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