Ricci Flow Equation on (\alpha, \beta)-Metrics
A. Tayebi, E. Peyghan, B. Najafi
TL;DR
This paper investigates how (,)-metrics in Finsler geometry evolve under Ricci flow equations, providing insights into their geometric properties and flow behavior.
Contribution
It introduces the study of Ricci flow on (,)-metrics, a class of Finsler metrics, which has not been extensively explored before.
Findings
Characterization of Ricci flow behavior on (,)-metrics
Conditions for un-normal and normal Ricci flow solutions
Potential implications for Finsler geometry and geometric analysis
Abstract
In this paper, we study the class of Finsler metrics, namely (\alpha, \beta)- metrics, which satisfies the un-normal or normal Ricci flow equation.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Fixed Point Theorems Analysis