Geodesic graphs in Randers g.o. spaces

Zdeněk Dušek

Commentationes Mathematicae Universitatis Carolinae (2020)

  • Volume: 61, Issue: 2, page 195-211
  • ISSN: 0010-2628

Abstract

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The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, in particular to homogeneous Randers g.o. manifolds. On modified H-type groups which admit a Riemannian g.o. metric, invariant Randers g.o. metrics are determined and geodesic graphs in these Finsler g.o. manifolds are constructed. New structures of geodesic graphs are observed.

How to cite

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Dušek, Zdeněk. "Geodesic graphs in Randers g.o. spaces." Commentationes Mathematicae Universitatis Carolinae 61.2 (2020): 195-211. <http://eudml.org/doc/297173>.

@article{Dušek2020,
abstract = {The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, in particular to homogeneous Randers g.o. manifolds. On modified H-type groups which admit a Riemannian g.o. metric, invariant Randers g.o. metrics are determined and geodesic graphs in these Finsler g.o. manifolds are constructed. New structures of geodesic graphs are observed.},
author = {Dušek, Zdeněk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Finsler space; Randers space; homogeneous geodesic; geodesic graph; g.o. space},
language = {eng},
number = {2},
pages = {195-211},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Geodesic graphs in Randers g.o. spaces},
url = {http://eudml.org/doc/297173},
volume = {61},
year = {2020},
}

TY - JOUR
AU - Dušek, Zdeněk
TI - Geodesic graphs in Randers g.o. spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2020
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 61
IS - 2
SP - 195
EP - 211
AB - The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, in particular to homogeneous Randers g.o. manifolds. On modified H-type groups which admit a Riemannian g.o. metric, invariant Randers g.o. metrics are determined and geodesic graphs in these Finsler g.o. manifolds are constructed. New structures of geodesic graphs are observed.
LA - eng
KW - Finsler space; Randers space; homogeneous geodesic; geodesic graph; g.o. space
UR - http://eudml.org/doc/297173
ER -

References

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