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This publication is the 1st to provide an summary of higher-order Hamilton geometry with functions to higher-order Hamiltonian mechanics. it's a direct continuation of the e-book The Geometry of Hamilton and Lagrange areas, (Kluwer educational Publishers, 2001). It comprises the final idea 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 nearly touch metrical version of those areas.

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. E C, zero '1 . be the O-dimensional Lie n workforce generated by way of the transformation z ~ >. z, z E C - {a}. Then (cf.

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This is often the 1st booklet on a newly rising box of discrete differential geometry delivering an exceptional technique to entry this fascinating sector. It presents discrete equivalents of the geometric notions and strategies of differential geometry, similar to notions of curvature and integrability for polyhedral surfaces.

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