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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TM thanks the Research Foundation—Flanders (FWO) for its support through Research Grant 1510818N.
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Hajdú, S., Mestdag, T. Jacobi Fields and Conjugate Points for a Projective Class of Sprays. Mediterr. J. Math. 18, 73 (2021). https://doi.org/10.1007/s00009-021-01736-2
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DOI: https://doi.org/10.1007/s00009-021-01736-2