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This ebook is the 1st to give an summary of higher-order Hamilton geometry with purposes to higher-order Hamiltonian mechanics. it's a direct continuation of the publication The Geometry of Hamilton and Lagrange areas, (Kluwer educational Publishers, 2001). It includes 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 staff generated by means of the transformation z ~ >. z, z E C - {a}. Then (cf.

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Modern learn in algebraic geometry is the point of interest of this assortment, which offers articles on smooth facets of the topic. The record of issues lined is a roll-call of a few of crucial and lively topics during this thriving zone of arithmetic: the reader will locate articles on birational geometry, vanishing theorems, complicated geometry and Hodge thought, loose resolutions and syzygies, derived different types, invariant idea, moduli areas, and similar subject matters, all written via top specialists.