Metric Structures 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 Metric Structures in Differential Geometry write by Gerard Walschap. This book was released on 2012-08-23. Metric Structures in Differential Geometry available in PDF, EPUB and Kindle. This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.
Metric Structures for Riemannian and Non-Riemannian Spaces
Metric Structures for Riemannian and Non-Riemannian Spaces - 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 Metric Structures for Riemannian and Non-Riemannian Spaces write by Mikhail Gromov. This book was released on 2007-06-25. Metric Structures for Riemannian and Non-Riemannian Spaces available in PDF, EPUB and Kindle. This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index round out this unique and beautiful book.
Differential Geometric Structures
Differential Geometric Structures - 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 Differential Geometric Structures write by Walter A. Poor. This book was released on 2015-04-27. Differential Geometric Structures available in PDF, EPUB and Kindle. This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.
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.
Fundamentals of Differential Geometry
Fundamentals of 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 Fundamentals of Differential Geometry write by Serge Lang. This book was released on 2012-12-06. Fundamentals of Differential Geometry available in PDF, EPUB and Kindle. This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER
