Yu, Xuegang Hyperbolic Lagrangian functions. (English) Zbl 0944.70015 Appl. Math. Mech., Engl. Ed. 19, No. 12, 1189-1195 (1998). The equation of motion for a free particle on Minkowski space is dicussed in Lagrangian, Hamiltonian, and Hamilton-Jacobi form, using a representation with an imaginary time coordinate. Unfortunately, the English translation of this Chinese paper is difficult to understand since it is not in agreement with standard English terminology. Reviewer: V.Perlick (Berlin) Cited in 2 Documents MSC: 70H40 Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics 70H03 Lagrange’s equations 83A05 Special relativity Keywords:Lagrangian representation; Hamiltonian representation; Hamiltonian-Jacobi representation; equation of motion; free particle; Minkowski space; imaginary time coordinate PDFBibTeX XMLCite \textit{X. Yu}, Appl. Math. Mech., Engl. Ed. 19, No. 12, 1189--1195 (1998; Zbl 0944.70015) Full Text: DOI References: [1] Xong Xijin, Wide complex analysis,Journal of Wuhan University,1 (1980), 26–29. (in Chinese) [2] Yu Xuegang and Cui Jingmao, Hyperbolic quantum mechanics,Journal of Songliao,4 (1995), 1–6. (in Chinese) [3] Yu Xuegang and Ma Longjun, The summary of the hyperbolic complex functional analysis,Journal of Tonghua Teachers’ College,4 (1993), 30–34. (in Chinese) [4] Yu Xuegang and Yu Xueqian, Hyperbolic complex analysis and the theory of relativity,Journal of Mathematics Physics,15, 4 (1995), 435–441. (in Chinese) · Zbl 0900.51005 [5] Yu Xuegang and Gao Junli, Hyperbolic tensor analysis,Proceedings of the 2nd International Conference on Nonlinear Mechanics, Peking University Press (1993), 883–884. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.