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On the structure of infinitesimal almost projective transformations in the tangent bundle of a general space of paths

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Abstract

We establish necessary conditions for a vector field on the tangent bundle of a general space of paths to be an infinitesimal almost projective transformation in the case when the tensor fields determining the complexes of autoparallel curves are Yano-Okubo-Kagan complete lifts of tensor fields from the base manifold.

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References

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Authors and Affiliations

  1. Kazan State University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    A. Yu. Dan’shin

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  1. A. Yu. Dan’shin
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Correspondence to A. Yu. Dan’shin.

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Original Russian Text © A.Yu. Dan’shin, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 9, pp. 71–75.

Submitted by A. V. Aminova

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Dan’shin, A.Y. On the structure of infinitesimal almost projective transformations in the tangent bundle of a general space of paths. Russ Math. 54, 62–66 (2010). https://doi.org/10.3103/S1066369X10090069

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  • DOI: https://doi.org/10.3103/S1066369X10090069

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