Read e-book online Riemannian Geometry (De Gruyter Studies in Mathematics) PDF

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

This publication 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 e-book The Geometry of Hamilton and Lagrange areas, (Kluwer educational Publishers, 2001). It includes the overall concept 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.

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

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This is often the 1st e-book on a newly rising box of discrete differential geometry offering an exceptional option to entry this fascinating region. It presents discrete equivalents of the geometric notions and strategies of differential geometry, resembling notions of curvature and integrability for polyhedral surfaces.

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Modern learn in algebraic geometry is the focal point of this assortment, which offers articles on glossy points of the topic. The checklist of themes coated is a roll-call of a few of an important and energetic issues 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 conception, moduli areas, and comparable themes, all written by way of major specialists.