Transformation Groups In Differential Geometry
Download Transformation Groups In Differential Geometry full books in PDF, epub, and Kindle. Read online free Transformation Groups In Differential Geometry ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Transformation Groups in Differential Geometry
Author | : Shoshichi Kobayashi |
Publisher | : Springer Science & Business Media |
Total Pages | : 192 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642619819 |
Download Transformation Groups in Differential Geometry Book in PDF, Epub and Kindle
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.