On the symmetry group of the n-dimensional Berwald-Moor metric

TL;DR

This paper characterizes the symmetry group of the n-dimensional Berwald-Moor metric, providing a detailed parametrization, analyzing its properties, and computing its Lie algebra to deepen understanding of its geometric structure.

Contribution

It offers the first explicit parametrization and Lie algebra computation of the symmetry group of the n-dimensional Berwald-Moor metric, advancing geometric and algebraic understanding.

Findings

The symmetry group is explicitly parametrized.

Properties of the symmetry Lie group are analyzed.

The Lie algebra associated with the symmetry group is computed.

Abstract

In this paper we parametrize the symmetry group of the n-dimensional Berwald-Moor metric. Some properties of this Lie group are studied, and its corresponding Lie algebra is computed.