You might also like

More about Transformation Groups in Differential Geometry

• Book details
• Synopsis
• Trending among others

You get 137 loyalty points

Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Geometry

• Full title: Transformation Groups in Differential Geometry
• Author: Shoshichi Kobayashi
• Language: English
• Binding: Paperback
• Number of pages: 182
• EAN: 9783540586593
• ISBN: 3540586598
• ID: 01565883
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 980 g
• Dimensions: 235 × 155 × 11 mm
• Date of publishing: 15. February 1995

Trending among others

---

---

---