TITLE:
Finslerian Ricci Deformation and Conformal Metrics
AUTHORS:
Gilbert Nibaruta, Serge Degla, Léonard Todjihounde
KEYWORDS:
Ehresmann Connection, Ricci Flow, Trace-Free Ricci Tensor, Conformal Change of Finsler-Ehresmann Form
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.7,
July
27,
2018
ABSTRACT: In this paper, a new Ricci flow is canonically
introduced in Finsler Geometry and, under the variance of Finsler-Ehresmann
form, conformal changes of Finsler metrics are studied. Some existence
conditions of this Finslerian Ricci flow on a compact manifold which preserves
the conformal class of the initial metric are obtained as an application.