On complex Landsberg and Berwald spaces

TL;DR

This paper investigates complex Landsberg and Berwald spaces, introduces generalized classes, and explores their intersections, advancing the understanding of their geometric properties.

Contribution

It introduces and characterizes generalized Berwald and Landsberg spaces, and defines the G-Landsberg class as their intersection.

Findings

Characterization of generalized Berwald spaces

Introduction of the G-Landsberg class

Insights into the structure of complex Landsberg spaces

Abstract

In this paper, we study the complex Landsberg spaces and some of their important subclasses. We introduce and characterize the class of generalized Berwald and complex Landsberg spaces. The intersection of these spaces gives the so called $G-$ Landsberg class.