{"product_id":"9783540586593","title":"Classics in Mathematics","description":"\u003ch1\u003eClassics in Mathematics\u003c\/h1\u003e \u003ch2\u003eKobayashi, Shoshichi\u003c\/h2\u003e \u003cp\u003eGiven 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1995-02-15\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540586593\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-61981-6\u003c\/p\u003e \u003cp\u003eDimensions: 233cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 182\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":46541256065164,"sku":"9783540586593","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540586593.jpg?v=1775733068","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540586593","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}