A minimizing property of homographic solutions

Authors
Mansur, Abdalla M. Offin, Daniel C.
Citation
M. Mansur, Abdalla et C. Offin, Daniel, A minimizing property of homographic solutions, Acta mathematica Sinica. English series (Print) , 30(2), 2014, pp. 353-360
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
30
Issue
2
Year of publication
2014
Pages
353 - 360
Database
ACNP
SICI code
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.