Year: 2025
Type: article
Abstract: The goal of this paper is to examine affine vector fields on 4-dimensional spaces endowed with a metric of signature (+, +,-,-). The existence of affine symmetries is discussed on these spaces and its connection between the holonomy structure is presented. The holonomy types of such spaces admitting proper affine vector fields are obtained and some examples are given. Additionally, several remarks are made regarding the close relationship of symmetries to Ricci solitons.
Source: Filomat
DOI: 10.2298/fil2506949k
Author: Bahar Kırık Rácz
Institution: Marmara University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: University of Aberdeen
OpenAlex ID: W4413245309