Work

Symmetric Killing tensors on almost abelian Lie groups

Year: 2025

Type: preprint

Abstract: In this work we provide a complete characterization of left-invariant symmetric Killing tensors on almost abelian Lie groups endowed with a left-invariant Riemannian metric. We show in particular that all such tensors are decomposable, in the sense that they can be expressed as a polynomial in the Killing vector fields and the Riemannian metric.

Source: arXiv (Cornell University)

Authors: Berto-Cuevas, Renan, del Barco, Viviana, Moroianu, Andrei

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7084447765

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