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Download PDF by R. Miron: The Geometry of Higher-Order Hamilton Spaces: Applications

This booklet is the 1st to provide an summary of higher-order Hamilton geometry with purposes to higher-order Hamiltonian mechanics. it's a direct continuation of the booklet The Geometry of Hamilton and Lagrange areas, (Kluwer educational Publishers, 2001). It comprises the final conception 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.

Sorin Dragomir,Liuiu Ornea's Locally Conformal Kähler Geometry (Progress in Mathematics) PDF

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

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This is often the 1st publication on a newly rising box of discrete differential geometry supplying a very good strategy to entry this intriguing region. It offers discrete equivalents of the geometric notions and techniques of differential geometry, akin to notions of curvature and integrability for polyhedral surfaces.

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Modern study in algebraic geometry is the point of interest of this assortment, which provides articles on glossy points of the topic. The record of subject matters lined is a roll-call of a few of crucial and energetic subject matters during this thriving zone of arithmetic: the reader will locate articles on birational geometry, vanishing theorems, advanced geometry and Hodge concept, unfastened resolutions and syzygies, derived different types, invariant idea, moduli areas, and comparable subject matters, all written by means of best specialists.