Geodesically equivalent metrics and Nijenhuis geometry

We show how concepts, methods and results from Nijenhuis geometry can be used to study geodesically equivalent metrics. We propose a new method of the presentation and proof of many facts in the classical theory of geodesically equivalent metrics and develop methods for the further development of th...

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Bibliographic Details
Main Author: Alexey Bolsinov
Format: Default Article
Published: 2025
Subjects:
Applied mathematics
Mathematical physics
Pure mathematics
Geodesically equivalent metrics
Nijenhuis operator
Geodesic flow
Symmetries
Conservation laws
Online Access:https://hdl.handle.net/2134/30727460.v1
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