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Jacobi fields and conjugate points for a projective class of sprays

S. Hajdu and Tom Mestdag (UGent)
(2021) MEDITERRANEAN JOURNAL OF MATHEMATICS. 18(2).
Author
Organization
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.
Keywords
Second-order ordinary differential equations, sprays, projective change, Jacobi fields, conjugate points

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MLA
Hajdu, S., and Tom Mestdag. “Jacobi Fields and Conjugate Points for a Projective Class of Sprays.” MEDITERRANEAN JOURNAL OF MATHEMATICS, vol. 18, no. 2, 2021, doi:10.1007/s00009-021-01736-2.
APA
Hajdu, S., & Mestdag, T. (2021). Jacobi fields and conjugate points for a projective class of sprays. MEDITERRANEAN JOURNAL OF MATHEMATICS, 18(2). https://doi.org/10.1007/s00009-021-01736-2
Chicago author-date
Hajdu, S., and Tom Mestdag. 2021. “Jacobi Fields and Conjugate Points for a Projective Class of Sprays.” MEDITERRANEAN JOURNAL OF MATHEMATICS 18 (2). https://doi.org/10.1007/s00009-021-01736-2.
Chicago author-date (all authors)
Hajdu, S., and Tom Mestdag. 2021. “Jacobi Fields and Conjugate Points for a Projective Class of Sprays.” MEDITERRANEAN JOURNAL OF MATHEMATICS 18 (2). doi:10.1007/s00009-021-01736-2.
Vancouver
1.
Hajdu S, Mestdag T. Jacobi fields and conjugate points for a projective class of sprays. MEDITERRANEAN JOURNAL OF MATHEMATICS. 2021;18(2).
IEEE
[1]
S. Hajdu and T. Mestdag, “Jacobi fields and conjugate points for a projective class of sprays,” MEDITERRANEAN JOURNAL OF MATHEMATICS, vol. 18, no. 2, 2021.
@article{8710791,
  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.}},
  articleno    = {{73}},
  author       = {{Hajdu, S. and Mestdag, Tom}},
  issn         = {{1660-5446}},
  journal      = {{MEDITERRANEAN JOURNAL OF MATHEMATICS}},
  keywords     = {{Second-order ordinary differential equations,sprays,projective change,Jacobi fields,conjugate points}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{20}},
  title        = {{Jacobi fields and conjugate points for a projective class of sprays}},
  url          = {{http://doi.org/10.1007/s00009-021-01736-2}},
  volume       = {{18}},
  year         = {{2021}},
}
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