Two types of Lie Groups as 4-dimensional Riemannian manifolds with circulant structure
Differential Geometry
2021-06-25 v1
Abstract
A 4-dimensional Riemannian manifold equipped with an endomorphism of the tangent bundle, whose fourth power is the identity, is considered. The matrix of this structure in some basis is circulant and the structure acts as an isometry with respect to the metric. Such manifolds are constructed on 4-dimensional real Lie groups with Lie algebras of two remarkable types. Some of their geometric characteristics are obtained.
Keywords
Cite
@article{arxiv.1801.08307,
title = {Two types of Lie Groups as 4-dimensional Riemannian manifolds with circulant structure},
author = {Iva Dokuzova and Dimitar Razpopov and Mancho Manev},
journal= {arXiv preprint arXiv:1801.08307},
year = {2021}
}
Comments
6 pages, 47-th Conference of United Bulgarian Mathematicians 2018