Transformation Groups in Differential Geometry (Paperback, Reprint of the 1st ed)

Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. The object of this book is to give a biased account of automorphism groups of differential geometric struc tures. All geometric structures are not created equal; some are creations of ods while others are products of lesser human minds. Amongst the former, Riemannian and complex structures stand out for their beauty and wealth. A major portion of this book is therefore devoted to these two structures. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure. Basic theorems in this regard are presented in 3, 4 and 5. The concept of G-structure or that of pseudo-group structure enables us to treat most of the interesting geo metric structures in a unified manner. In 8, we sketch the relationship between the two concepts. Chapter I is so arranged that the reader who is primarily interested in Riemannian, complex, conformal and projective structures can skip 5, 6, 7 and 8. This chapter is partly based on lec tures I gave in Tokyo and Berkeley in 1965."

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Classics in Mathematics
Release date:	February 1995
First published:	1995
Authors:	Shoshichi Kobayashi
Dimensions:	233 x 155 x 10mm (L x W x T)
Format:	Paperback
Pages:	182
Edition:	Reprint of the 1st ed
ISBN-13:	978-3-540-58659-3
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Promotions
LSN:	3-540-58659-8
Barcode:	9783540586593

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