Jacobi Fields and Conjugate Points for a Projective Class of Sprays
- Autores: S. Hajdú, T. Mestdag
- Localización: Mediterranean journal of mathematics, ISSN 1660-5446, Vol. 18, Nº. 2, 2021
- Idioma: inglés
- DOI: 10.1007/s00009-021-01736-2
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Resumen
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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