Turkish Journal of Mathematics
Abstract
In this paper, Szabos algorithm is used as the main tool to find locally symmetric left invariant Riemannian metrics on some $4$-dimensional Lie groups. Locally symmetric left invariant Riemannian Lie groups constitute an important subclass of Riemannian Lie groups with zero-divergence Weyl-tensor the so-called C-manifolds. Some properties of the curvature operator of these 4-dimensional C-manifolds are studied.
DOI
10.55730/1300-0098.3419
Keywords
Lie algebra, Lie group, locally symmetric metric, $Z$-decomposition, Weyl tensor
First Page
1169
Last Page
1181
Recommended Citation
NGAHA, M. B, MBATAKOU, S. J, & PEFOUKEU, R. N (2023). Szabos algorithm and applications. Turkish Journal of Mathematics 47 (4): 1169-1181. https://doi.org/10.55730/1300-0098.3419
