Download E-books Transformation Groups in Differential Geometry (Classics in Mathematics) PDF

By Shoshichi Kobayashi

Given a mathematical constitution, one of many uncomplicated linked mathematical items is its automorphism workforce. the thing of this e-book is to provide a biased account of automorphism teams of differential geometric struc­ tures. All geometric constructions are usually not created equivalent; a few are creations of ~ods whereas others are items of lesser human minds. among the previous, Riemannian and complicated buildings stand out for his or her attractiveness and wealth. an enormous part of this ebook is as a result dedicated to those buildings. bankruptcy I describes a normal idea of automorphisms of geometric constructions with emphasis at the query of whilst the automorphism team will be given a Lie workforce constitution. uncomplicated theorems during this regard are provided in §§ three, four and five. the idea that of G-structure or that of pseudo-group constitution permits us to regard many of the attention-grabbing geo­ metric buildings in a unified demeanour. In § eight, we cartoon the connection among the 2 recommendations. bankruptcy I is so prepared that the reader who's basically drawn to Riemannian, complicated, conformal and projective constructions can bypass §§ five, 6, 7 and eight. This bankruptcy is in part in accordance with lec­ tures I gave in Tokyo and Berkeley in 1965.

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