THERMAL SCIENCE

International Scientific Journal

Hulya Kadioglu

A COMPUTATIONAL APPROACH FOR THE CLASSIFICATIONS OF ALL POSSIBLE DERIVATIONS OF NILSOLITONS IN DIMENSION 9

ABSTRACT
In mathematics and engineering, a manifold is a topological space that locally resembles Euclidean space near each point. Defining the best metric for these manifolds have several engineering and science implications from controls to optimization for generalized inner product applications of Gram Matrices that appear in these applications. These smooth geometric manifold applications can be formalized by Lie Groups and their Lie Algebras on its infinitesimal elements. Nilpotent matrices that are matrices with zero power with left-invariant metric on Lie group with non-commutative properties namely non-abelian nilsoliton metric Lie algebras will be the focus of this article. In this study, we present an algorithm to classify eigenvalues of nilsoliton derivations for 9-D non-abelian nilsoliton metric Lie algebras with non-singular Gram matrices.
KEYWORDS
nilsoliton metrics, nilradical, solvable lie algebra
PAPER SUBMITTED: 2022-06-12
PAPER REVISED: 2022-09-12
PAPER ACCEPTED: 2022-10-14
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2759K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special Issue 2, PAGES [759 - 783]
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A computational approach for the classifications of all possible derivations of nilsolitons in dimension 9

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence