Work

Classification of Algebraic Schouten Solitons on Lorentzian Lie Groups Associated with the Perturbed Canonical Connection and the Perturbed Kobayashi–Nomizu Connection

Year: 2024

Type: article

Abstract: In this paper, we investigate the algebraic conditions of algebraic Schouten solitons on three-dimensional Lorentzian Lie groups associated with the perturbed canonical connection and the perturbed Kobayashi–Nomizu connection. Furthermore, we provide the complete classification for these algebraic Schouten solitons on three-dimensional Lorentzian Lie groups associated with the algebraic Schouten solitons. The main results indicate that G4 does not possess algebraic Schouten solitons related to the perturbed Kobayashi–Nomizu connection, G1,G2,G3,G6, and G7 possess algebraic Schouten solitons, and the result for G5 is trivial.

Source: Symmetry

DOI: 10.3390/sym17010010

Authors: Jinguo Jiang, Yanni Yang

Institution: Nankai University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: Natural Science Foundation of Xinjiang