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
Keywords: Finsler space; weakly symmetric space; g.o. space; homogeneous geodesic; geodesic graph
@article{10_5817_AM2020_5_265,
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},
volume = {56},
number = {5},
year = {2020},
doi = {10.5817/AM2020-5-265},
mrnumber = {4188741},
zbl = {07285964},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2020-5-265/}
}
TY - JOUR AU - Dušek, Zdeněk TI - Structure of geodesics in weakly symmetric Finsler metrics on H-type groups JO - Archivum mathematicum PY - 2020 SP - 265 EP - 275 VL - 56 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2020-5-265/ DO - 10.5817/AM2020-5-265 LA - en ID - 10_5817_AM2020_5_265 ER -
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
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