On the least action principle . Hamiltonian dynamics on fixed energy levels in the non convex case

نویسندگان

  • Roberto Giambò
  • Fabio Giannoni
  • Paolo Piccione
چکیده

We review the classical Principle of the Least Action in a general context where the Hamilton function H is possibly non convex. We show how van Groesen [6] principle follow as particular cases where H is hyperregular and of homogeneous type. Homogeneous scalar field spacetimes in spherical symmetry are derived as an application. 2000 Mathematics Subject Classification. 70H03, 70H05, 70H30, 37J05.

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تاریخ انتشار 2006