DUŠEK, Zdeněk. The existence of two homogeneous geodesics in Finsler geometry. Symmetry. Basilej, Švýcarsko: MDPI AG, roč. 11, č. 7, s. nestránkováno, 5 s. ISSN 2073-8994. doi:10.3390/sym11070850. 2019. |
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@article{53001, author = {Dušek, Zdeněk}, article_location = {Basilej, Švýcarsko}, article_number = {7}, doi = {http://dx.doi.org/10.3390/sym11070850}, keywords = {Homogeneous Finsler manifold; homogeneous geodesic}, language = {eng}, issn = {2073-8994}, journal = {Symmetry}, title = {The existence of two homogeneous geodesics in Finsler geometry}, url = {https://www.mdpi.com/2073-8994/11/7/850}, volume = {11}, year = {2019} }
TY - JOUR ID - 53001 AU - Dušek, Zdeněk PY - 2019 TI - The existence of two homogeneous geodesics in Finsler geometry JF - Symmetry VL - 11 IS - 7 SP - nestránkováno EP - nestránkováno PB - MDPI AG SN - 20738994 KW - Homogeneous Finsler manifold KW - homogeneous geodesic UR - https://www.mdpi.com/2073-8994/11/7/850 L2 - https://www.mdpi.com/2073-8994/11/7/850 N2 - 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. ER -
DUŠEK, Zdeněk. The existence of two homogeneous geodesics in Finsler geometry. \textit{Symmetry}. Basilej, Švýcarsko: MDPI AG, roč.~11, č.~7, s.~nestránkováno, 5 s. ISSN~2073-8994. doi:10.3390/sym11070850. 2019.
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