Flat-Parallel Minkowski Space and <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"><a:mi>β</a:mi></a:math>-Change with <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M2"><c:mfenced open="(" close=")" separators="|"><c:mrow><c:mi>α</c:mi><c:mo>,</c:mo><c:mi>β</c:mi></c:mrow></c:mfenced></c:math>-Metric

The purpose of this paper is to examine the condition for a Finsler space with a generalized α,β-metric to be projectively flat. In addition, we establish that the Finsler space with generalized α,β-metric is a flat-parallel Minkowski space and derive the condition under which the β-change for the aforementioned metric is projective. We also explored the projective nature of β-change for various significant Finsler metrics derived from the generalized α,β-metric.