By R. Miron
ISBN-10: 1402015747
ISBN-13: 9781402015748
ISBN-10: 940103995X
ISBN-13: 9789401039956
and Lagrange Spaces, (Kluwer educational Publishers, 2001). It comprises the final thought of upper order Hamilton areas H(k)n, k>=1, semisprays, the canonical nonlinear connection,
the N-linear metrical connection and their constitution equations, and the Riemannian virtually touch metrical version of those areas. moreover, the amount additionally describes new advancements reminiscent of variational rules for
better order Hamiltonians; Hamilton-Jacobi equations; better order energies and legislations of conservation; Noether symmetries; Hamilton subspaces of order ok and their basic equations. The duality, through Legendre transformation,
among Hamilton areas of order okay and Lagrange areas of an identical order is mentioned. additionally, the geometry of Cartan areas of order ok =1 is investigated intimately. This conception turns out to be useful within the building of geometrical
versions in theoretical physics, mechanics, dynamical platforms, optimum keep watch over, biology, financial system etc.
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The Geometry of Higher-Order Hamilton Spaces: Applications to Hamiltonian Mechanics (Fundamental Theories of Physics) by R. Miron
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