Structure of geodesics in weakly symmetric Finsler metrics on H-type groups

Zdeněk Dušek

Archivum Mathematicum (2020)

  • Volume: 056, Issue: 5, page 265-275
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Dušek, Zdeněk. "Structure of geodesics in weakly symmetric Finsler metrics on H-type groups." Archivum Mathematicum 056.5 (2020): 265-275. <http://eudml.org/doc/297157>.

@article{Dušek2020,
abstract = {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.},
author = {Dušek, Zdeněk},
journal = {Archivum Mathematicum},
keywords = {Finsler space; weakly symmetric space; g.o. space; homogeneous geodesic; geodesic graph},
language = {eng},
number = {5},
pages = {265-275},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Structure of geodesics in weakly symmetric Finsler metrics on H-type groups},
url = {http://eudml.org/doc/297157},
volume = {056},
year = {2020},
}

TY - JOUR
AU - Dušek, Zdeněk
TI - Structure of geodesics in weakly symmetric Finsler metrics on H-type groups
JO - Archivum Mathematicum
PY - 2020
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 056
IS - 5
SP - 265
EP - 275
AB - 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.
LA - eng
KW - Finsler space; weakly symmetric space; g.o. space; homogeneous geodesic; geodesic graph
UR - http://eudml.org/doc/297157
ER -

References

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