Transformation Groups in Differential Geometry is popular PDF and ePub book, written by Shoshichi Kobayashi in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Transformation Groups in Differential Geometry can be Read Online from any device for your convenience.
Transformation Groups in Differential Geometry Book PDF Summary
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.
Detail Book of Transformation Groups in Differential Geometry PDF
- Author : Shoshichi Kobayashi
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642619816
- Genre : Mathematics
- Total Page : 192 pages
- Language : English
- PDF File Size : 19,9 Mb
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