| Title:
|
Geodesic graphs in Randers g.o. spaces (English) |
| Author:
|
Dušek, Zdeněk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
61 |
| Issue:
|
2 |
| Year:
|
2020 |
| Pages:
|
195-211 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Finsler space |
| Keyword:
|
Randers space |
| Keyword:
|
homogeneous geodesic |
| Keyword:
|
geodesic graph |
| Keyword:
|
g.o. space |
| MSC:
|
53C22 |
| MSC:
|
53C30 |
| MSC:
|
53C60 |
| idZBL:
|
Zbl 07286001 |
| idMR:
|
MR4143705 |
| DOI:
|
10.14712/1213-7243.2020.023 |
| . |
| Date available:
|
2020-10-13T13:12:53Z |
| Last updated:
|
2022-07-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148284 |
| . |
| Reference:
|
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| . |
