Some Types of Recurrence in Finsler geometry

TL;DR

This paper explores various recurrence properties in Finsler geometry using the pullback approach, introducing new concepts like generalized concircular recurrence and analyzing their interrelationships.

Contribution

It introduces and investigates three classes of recurrence in Finsler geometry, including a novel concept of generalized concircular recurrence, expanding the understanding of recurrence structures.

Findings

Defined three classes of recurrence in Finsler geometry.

Analyzed interrelationships between different recurrence types.

Introduced the concept of generalized concircular recurrence.

Abstract

The pullback approach to global Finsler geometry is adopted. Three classes of recurrence in Finsler geometry are introduced and investigated: simple recurrence, Ricci recurrence and concircular recurrence. Each of these classes consists of four types of recurrence. The interrelationships between the different types of recurrence are studied. The generalized concircular recurrence, as a new concept, is singled out.