Some Types of Recurrence in Finsler geometry

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.

LaTex file, 13 pages, Concluding remarks are changed, Last diagram is modified

References in corpus (2)

• Geometric objects associated with the fundamental connections in Finsler geometry
• On Concircularly Recurrent Finsler Manifolds

Cited by in corpus (1)

• On Hyper-Generalized Recurrent Finsler Spaces