Beyond the Generalized Douglas Weyl spaces

TL;DR

This paper explores new subclasses of Generalized Douglas Weyl ($GDW$)-metrics in Finsler geometry, providing explicit examples and expanding understanding of this projective invariant class.

Contribution

It introduces and constructs new subclasses of $GDW$-metrics with explicit examples, enhancing the classification and understanding of these Finsler metrics.

Findings

New subclasses of $GDW$-metrics are constructed.

Explicit examples of these subclasses are provided.

The paper offers insights into the structure of $GDW$-metrics.

Abstract

This paper gives new insights into the class of Generalized Douglas Weyl ($GDW$)-metrics. This projective invariant class of Finsler metrics, contains some well-known Finsler metrics such as Douglas, Weyl and $R$-quadratic metrics. Here, some new sub-classes of $GDW$-metrics are constructed and considered as the explicit Finsler metrics. Many illustrative and interesting examples are presented.