{"product_id":"transformation-groups-in-differential-geometry-book-shoshichi-kobayashi-9783540586593","title":"Transformation Groups in Differential Geometry","description":"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.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52147323961617,"sku":"NLS9783540586593","price":133.59,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540586593.jpg?v=1757600170","url":"https:\/\/www.worldofbooks.com\/en-au\/products\/transformation-groups-in-differential-geometry-book-shoshichi-kobayashi-9783540586593","provider":"World of Books ","version":"1.0","type":"link"}