On the projective algebra of Einstein Matsumoto metrics

TL;DR

This paper characterizes the projective algebra of Einstein Matsumoto Finsler spaces, identifying metrics with maximum projective symmetry and expanding understanding of their geometric properties.

Contribution

It provides a detailed characterization of the projective algebra for Einstein Matsumoto metrics and identifies conditions for maximum projective symmetry.

Findings

The projective algebra of Einstein Matsumoto spaces is finite-dimensional.

Einstein Matsumoto metrics with maximum projective symmetry are characterized.

The study extends the understanding of projective symmetries in Finsler geometry.

Abstract

The projective algebra p(M;F) (i.e the collection of all projective vector fields)of a Finsler space (M;F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket. The projective algebra of Einstein metrics has been perpetually studied from physical and geometrical approaches. Here, the projective algebra of Einstein Matsumoto space of dimension n \geq 3 is characterized. Moreover, Einstein Matsumoto metrics with maximum projective symmetry are studied and characterized.