Abstract
Hyperbolic complex numbers correspond with Minkowski geometry. The hyperbolic Lagrangian equation and the Hamilton-Jacobi equation will be derived from the invariants of four-dimensional space-time intervals and hyperbolic Lorentz transformations.
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Communicated by Ye Qingkai
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Xuegang, Y. Hyperbolic Lagrangian functions. Appl Math Mech 19, 1189–1195 (1998). https://doi.org/10.1007/BF02456640
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DOI: https://doi.org/10.1007/BF02456640