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arXiv · 2009.00913

Jacobi fields and conjugate points for a projective class of sprays

S. Hajdú·T. Mestdag
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Abstract

We investigate Jacobi fields and conjugate points in the context of sprays. We first prove that the conjugate points of a spray remain preserved under a projective change. Then, we establish conditions on the projective factor so that the projectively deformed spray meets the conditions of a proposition that ensures the existence of conjugate points. We discuss our methods by means of illustrative examples, throughout the paper.

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BibTeXRIS

S. Hajdú, T. Mestdag. 2020-09-02. Jacobi fields and conjugate points for a projective class of sprays. https://doi.org/10.1007/s00009-021-01736-2

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