Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups
In this paper, we consider invariant (α, β)-metrics and describe all geodesic vectors and investigate the set of all homogeneous geodesics on left invariant hypercomplex four dimensional simply connected Lie groups. Also, we study the conditions for the Douglas and Berwald type of (α, β)-metrics on...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2024-12-01
|
| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_3542_c452545b7b303242e1aebf5c8e4bb072.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850116642391982080 |
|---|---|
| author | Milad Zeinali Laki Dariush Latifi |
| author_facet | Milad Zeinali Laki Dariush Latifi |
| author_sort | Milad Zeinali Laki |
| collection | DOAJ |
| description | In this paper, we consider invariant (α, β)-metrics and describe all geodesic vectors and investigate the set of all homogeneous geodesics on left invariant hypercomplex four dimensional simply connected Lie groups. Also, we study the conditions for the Douglas and Berwald type of (α, β)-metrics on the left invariant hypercomplex four dimensional simply connected Lie groups. |
| format | Article |
| id | doaj-art-a55402513de04d7f96038cebc62d5cdc |
| institution | OA Journals |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-a55402513de04d7f96038cebc62d5cdc2025-08-20T02:36:16ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662024-12-0113227128310.22098/jhs.2024.15468.10293542Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groupsMilad Zeinali Laki0Dariush Latifi1Department of Mathematics, Faculty of Basic Sciences, University of Mohaghegh Ardabili, P.O.Box. 5619911367, Ardabil, Iran.Department of Mathematics, Faculty of Basic Sciences, University of Mohaghegh Ardabili, P.O.Box. 5619911367, Ardabil, Iran.In this paper, we consider invariant (α, β)-metrics and describe all geodesic vectors and investigate the set of all homogeneous geodesics on left invariant hypercomplex four dimensional simply connected Lie groups. Also, we study the conditions for the Douglas and Berwald type of (α, β)-metrics on the left invariant hypercomplex four dimensional simply connected Lie groups.https://jhs.uma.ac.ir/article_3542_c452545b7b303242e1aebf5c8e4bb072.pdf$(alphabeta)$-metricscomplex structuregeodesic vectorhomogeneous geodesichypercomplex lie groups |
| spellingShingle | Milad Zeinali Laki Dariush Latifi Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups Journal of Hyperstructures $(alpha beta)$-metrics complex structure geodesic vector homogeneous geodesic hypercomplex lie groups |
| title | Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups |
| title_full | Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups |
| title_fullStr | Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups |
| title_full_unstemmed | Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups |
| title_short | Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups |
| title_sort | geodesic vectors of α β metrics on hypercomplex 4 dimensional lie groups |
| topic | $(alpha beta)$-metrics complex structure geodesic vector homogeneous geodesic hypercomplex lie groups |
| url | https://jhs.uma.ac.ir/article_3542_c452545b7b303242e1aebf5c8e4bb072.pdf |
| work_keys_str_mv | AT miladzeinalilaki geodesicvectorsofabmetricsonhypercomplex4dimensionalliegroups AT dariushlatifi geodesicvectorsofabmetricsonhypercomplex4dimensionalliegroups |