Transformation Groups in Differential Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transformation Groups in Differential Geometry write by Shoshichi Kobayashi. This book was released on 1995-02-15. Transformation Groups in Differential Geometry available 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.
Transformation Groups in Differential Geometry
Transformation Groups in Differential Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transformation Groups in Differential Geometry write by Shoshichi Kobayashi. This book was released on 2012-12-06. Transformation Groups in Differential Geometry available 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.
TRANSFORMATION GROUPS IN DIFFERENTIAL GEOMETRY. VON S. KOBAYASHI.
TRANSFORMATION GROUPS IN DIFFERENTIAL GEOMETRY. VON S. KOBAYASHI. - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook TRANSFORMATION GROUPS IN DIFFERENTIAL GEOMETRY. VON S. KOBAYASHI. write by S. Kobayashi. This book was released on 1972. TRANSFORMATION GROUPS IN DIFFERENTIAL GEOMETRY. VON S. KOBAYASHI. available in PDF, EPUB and Kindle.
Lie transformation groups and differential geometry
Lie transformation groups and differential geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie transformation groups and differential geometry write by . This book was released on 1986. Lie transformation groups and differential geometry available in PDF, EPUB and Kindle.
Theory of Transformation Groups I
Theory of Transformation Groups I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Transformation Groups I write by Sophus Lie. This book was released on 2015-03-12. Theory of Transformation Groups I available in PDF, EPUB and Kindle. This modern translation of Sophus Lie's and Friedrich Engel's “Theorie der Transformationsgruppen I” will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I presents a comprehensive introduction to the theory and is mainly directed towards the generalization of ideas drawn from the study of examples. The major part of the present volume offers an extremely clear translation of the lucid original. The first four chapters provide not only a translation, but also a contemporary approach, which will help present day readers to familiarize themselves with the concepts at the heart of the subject. The editor's main objective was to encourage a renewed interest in the detailed classification of Lie algebras in dimensions 1, 2 and 3, and to offer access to Sophus Lie's monumental Galois theory of continuous transformation groups, established at the end of the 19th Century. Lie groups are widespread in mathematics, playing a role in representation theory, algebraic geometry, Galois theory, the theory of partial differential equations and also in physics, for example in general relativity. This volume is of interest to researchers in Lie theory and exterior differential systems and also to historians of mathematics. The prerequisites are a basic knowledge of differential calculus, ordinary differential equations and differential geometry.
