Geodesically equivalent metrics, Nijenhuis operators, geodesic flows, symmetries, conservation laws

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Abstract

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 this theory.

About the authors

Aleksei Viktorovich Bolsinov

Department of Mathematical Sciences, Loughborough University, Loughborough, UK; Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Author for correspondence.
Email: A.Bolsinov@lboro.ac.uk
Doctor of physico-mathematical sciences, Professor

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