Classification of Douglas $(\alpha,\beta)$-metrics on five dimensional nilpotent Lie groups
Differential Geometry
2024-07-23 v1
Abstract
In this paper we classify all simply connected five dimensional nilpotent Lie groups which admit -metrics of Berwald and Douglas type defined by a left invariant Riemannian metric and a left invariant vector field. During this classification we give the geodesic vectors, Levi-Civita connection, curvature tensor, sectional curvature and -curvature.
Keywords
Cite
@article{arxiv.1912.13406,
title = {Classification of Douglas $(\alpha,\beta)$-metrics on five dimensional nilpotent Lie groups},
author = {Masoumeh Hosseini and Hamid Reza Salimi Moghaddam},
journal= {arXiv preprint arXiv:1912.13406},
year = {2024}
}