Abstract
We obtain conditions under which an almost projective infinitesimal transformation on the tangent bundle of a general space of paths is a Yano-Okubo-Kagan complete lift of an infinitesimal projective transformation of a base manifold.
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References
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A. Yu. Dan’shin, “On the Structure of Infinitesimal Almost Projective Transformations in the Tangent Bundle of a General Space of Paths,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 9, 71–75 (2010) [Russian Mathematics (Izv. VUZ) 54 (9), 62–66 (2010)].
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Original Russian Text © A.Yu. Dan’shin, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 10, pp. 73–76.
Submitted by A.V. Aminova
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Dan’shin, A.Y. Generating infinitesimal almost projective transformations in the tangent bundle of a general space of paths by projective transformations on the base. Russ Math. 54, 63–66 (2010). https://doi.org/10.3103/S1066369X10100087
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DOI: https://doi.org/10.3103/S1066369X10100087