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A minimizing property of homographic solutions

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Abstract

In this paper, we prove that the homographic solutions to the rhombus four body problem are the variational minimizers of the Lagrangian action restricted on a holonomically constrained rhombus loop space.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Queen’s University, Kingston, ON, K7L 3N6, Canada

    Abdalla M. Mansur & Daniel C. Offin

Authors
  1. Abdalla M. Mansur
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  2. Daniel C. Offin
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Corresponding author

Correspondence to Abdalla M. Mansur.

Additional information

The first author is supported by Libyan Higer Education Fund; the second author is supported by Discovery Grant, Natural Sciences and Engineering Research Council of Canada

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Mansur, A.M., Offin, D.C. A minimizing property of homographic solutions. Acta. Math. Sin.-English Ser. 30, 353–360 (2014). https://doi.org/10.1007/s10114-013-1299-9

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  • DOI: https://doi.org/10.1007/s10114-013-1299-9

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