Schwarzian derivative and Numata Finsler structures
Christian Duval (CPT)
TL;DR
This paper uncovers a novel connection between the Schwarzian derivative and the flag curvature of Numata Finsler structures, extending understanding in Finsler geometry and its relation to differential invariants.
Contribution
It demonstrates a nontrivial extension of flag curvature to one-dimensional cases and links it to the Schwarzian derivative, revealing new geometric insights.
Findings
Flag curvature admits a nontrivial prolongation in 1D
Established a link between Schwarzian derivative and Finsler structures
Revealed unexpected geometric relationships
Abstract
The flag curvature of the Numata Finsler structures is shown to admit a nontrivial prolongation to the one-dimensional case, revealing an unexpected link with the Schwarzian derivative of the diffeomorphisms associated with these Finsler structures.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Algebraic and Geometric Analysis