Geodesic
Structure of geodesics in weakly symmetric Finsler metrics on H-type groups
Archivum mathematicum, Tome 56 (2020) no. 5, pp. 265-275.

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Structure of geodesic graphs in special families of invariant weakly symmetric Finsler metrics on modified H-type groups is investigated. Geodesic graphs on modified H-type groups with the center of dimension $1$ or $2$ are constructed. The new patterns of algebraic complexity of geodesic graphs are observed.
DOI : 10.5817/AM2020-5-265
Classification : 53C22, 53C30, 53C60
Keywords: Finsler space; weakly symmetric space; g.o. space; homogeneous geodesic; geodesic graph 
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     author = {Du\v{s}ek, Zden\v{e}k},
     title = {Structure of geodesics in weakly symmetric {Finsler} metrics on {H-type} groups},
     journal = {Archivum mathematicum},
     pages = {265--275},
     publisher = {mathdoc},
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     language = {en},
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Dušek, Zdeněk. Structure of geodesics in weakly symmetric Finsler metrics on H-type groups. Archivum mathematicum, Tome 56 (2020) no. 5, pp. 265-275. doi : 10.5817/AM2020-5-265. http://geodesic.mathdoc.fr/articles/10.5817/AM2020-5-265/

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