Geodesically equivalent metrics and Nijenhuis geometry


Bolsinov A.V.
2025Steklov Mathematical Institute of Russian Academy of Sciences

Sbornik Mathematics
2025#216Issue 5583 - 607 pp.

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.

conservation laws , geodesic flow , geodesically equivalent metrics , Nijenhuis operator , symmetries

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Department of Mathematical Sciences, Loughborough University, Loughborough, United Kingdom
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Department of Mathematical Sciences
Institute of Mathematics and Mathematical Modeling

10 лет помогаем публиковать статьи Международный издатель

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