On Akbar-Zadeh's Theorem on a Finsler Space of Constant Curvature

TL;DR

This paper provides two intrinsic generalizations of Akbar-Zadeh's theorem for Finsler spaces with constant curvature, expanding the theoretical understanding of such geometric structures.

Contribution

It introduces novel intrinsic generalizations of Akbar-Zadeh's theorem, enhancing the theoretical framework of Finsler geometry.

Findings

Derivation of two intrinsic generalizations of Akbar-Zadeh's theorem.

Discussion of consequences of these generalizations.

Advancement in understanding Finsler spaces of constant curvature.

Abstract

The aim of the present paper is to give two \emph{intrinsic} generalizations of Akbar-Zadeh's theorem on a Finsler space of constant curvature. Some consequences, of these generalizations, are drown.