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Lecons Sur La Geometrie Des Espaces De Riemann
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Book Synopsis Leçons sur la géométrie des espaces de Riemann by : Elie Cartan
Download or read book Leçons sur la géométrie des espaces de Riemann written by Elie Cartan and published by . This book was released on 1928 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Leçons sur la géométrie des espaces de Riemann by : Elie Cartan
Download or read book Leçons sur la géométrie des espaces de Riemann written by Elie Cartan and published by . This book was released on 1988 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Leçons sur la géométrie des espaces de Riemann by : Élie Cartan
Download or read book Leçons sur la géométrie des espaces de Riemann written by Élie Cartan and published by . This book was released on 1925 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lecons sur la geometrie des espaces de Riemann by : Elie Cartan
Download or read book Lecons sur la geometrie des espaces de Riemann written by Elie Cartan and published by . This book was released on 1963 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Leçons sur la géométrie des espaces de Riemann, par E. Cartan by : Élie Cartan
Download or read book Leçons sur la géométrie des espaces de Riemann, par E. Cartan written by Élie Cartan and published by . This book was released on 1928 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis E. Cartan: Lecons sur la geometrie des espaces de Riemann by : Enea Bortolotti
Download or read book E. Cartan: Lecons sur la geometrie des espaces de Riemann written by Enea Bortolotti and published by . This book was released on 1929* with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry, Lie Groups, and Symmetric Spaces by : Sigurdur Helgason
Download or read book Differential Geometry, Lie Groups, and Symmetric Spaces written by Sigurdur Helgason and published by Academic Press. This book was released on 1979-02-09 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.
Book Synopsis Géométrie des espaces de Riemann by : Paul Ver Eecke
Download or read book Géométrie des espaces de Riemann written by Paul Ver Eecke and published by . This book was released on 1978 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lecons sur la geometrie des espaces de riemann by : Élie Cartan
Download or read book Lecons sur la geometrie des espaces de riemann written by Élie Cartan and published by . This book was released on 1963 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lecons Surla Geometrie Des Espaces de Riemann by : E\lie Joseph Cartan
Download or read book Lecons Surla Geometrie Des Espaces de Riemann written by E\lie Joseph Cartan and published by . This book was released on 1963 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry by : I. M. James
Download or read book Differential Geometry written by I. M. James and published by Elsevier. This book was released on 2014-05-16 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Works of J. H. C. Whitehead, Volume 1: Differential Geometry contains all of Whitehead's published work on differential geometry, along with some papers on algebras. Most of these were written in the period 1929-1937, but a few later articles are included. The book begins with a list of Whitehead's works, in chronological order of writing as well as a biographical note by M. H. A. Newman and Barbara Whitehead, and a mathematical appreciation by John Milnor. This is followed by separate chapters on topics such as linear connections; a method of obtaining normal representations for a projective connection; representation of projective spaces; convex regions in the geometry of paths; locally homogeneous spaces in differential geometry; and the decomposition of an infinitesimal group. Also included are chapters on locally homogeneous spaces in differential geometry; Maurer's equations; linear associative algebras; an expression of Hopf's invariant as an integral; and normalizators of transformation groups.
Book Synopsis Lie Groups, Lie Algebras, and Some of Their Applications by : Robert Gilmore
Download or read book Lie Groups, Lie Algebras, and Some of Their Applications written by Robert Gilmore and published by Courier Corporation. This book was released on 2012-05-23 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.
Book Synopsis Fundamentals of Differential Geometry by : Serge Lang
Download or read book Fundamentals of Differential Geometry written by Serge Lang and published by Springer Science & Business Media. This book was released on 2001-09-21 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Philosophy of Geometry from Riemann to Poincaré by : R. Torretti
Download or read book Philosophy of Geometry from Riemann to Poincaré written by R. Torretti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry has fascinated philosophers since the days of Thales and Pythagoras. In the 17th and 18th centuries it provided a paradigm of knowledge after which some thinkers tried to pattern their own metaphysical systems. But after the discovery of non-Euclidean geometries in the 19th century, the nature and scope of geometry became a bone of contention. Philosophical concern with geometry increased in the 1920's after Einstein used Riemannian geometry in his theory of gravitation. During the last fifteen or twenty years, renewed interest in the latter theory -prompted by advances in cosmology -has brought geometry once again to the forefront of philosophical discussion. The issues at stake in the current epistemological debate about geometry can only be understood in the light of history, and, in fact, most recent works on the subject include historical material. In this book, I try to give a selective critical survey of modern philosophy of geometry during its seminal period, which can be said to have begun shortly after 1850 with Riemann's generalized conception of space and to achieve some sort of completion at the turn of the century with Hilbert's axiomatics and Poincare's conventionalism. The philosophy of geometry of Einstein and his contemporaries will be the subject of another book. The book is divided into four chapters. Chapter 1 provides back ground information about the history of science and philosophy.
Book Synopsis Riemannian Geometry During the Second Half of the Twentieth Century by : Marcel Berger
Download or read book Riemannian Geometry During the Second Half of the Twentieth Century written by Marcel Berger and published by American Mathematical Soc.. This book was released on 2000 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: During its first hundred years, Riemannian geometry enjoyed steady, but undistinguished growth as a field of mathematics. In the last fifty years of the twentieth century, however, it has exploded with activity. Berger marks the start of this period with Rauch's pioneering paper of 1951, which contains the first real pinching theorem and an amazing leap in the depth of the connection between geometry and topology. Since then, the field has become so rich that it is almost impossible for the uninitiated to find their way through it. Textbooks on the subject invariably must choose a particular approach, thus narrowing the path. In this book, Berger provides a remarkable survey of the main developments in Riemannian geometry in the second half of the last fifty years. One of the most powerful features of Riemannian manifolds is that they have invariants of (at least) three different kinds. There are the geometric invariants: topology, the metric, various notions of curvature, and relationships among these. There are analytic invariants: eigenvalues of the Laplacian, wave equations, Schrödinger equations. There are the invariants that come from Hamiltonian mechanics: geodesic flow, ergodic properties, periodic geodesics. Finally, there are important results relating different types of invariants. To keep the size of this survey manageable, Berger focuses on five areas of Riemannian geometry: Curvature and topology; the construction of and the classification of space forms; distinguished metrics, especially Einstein metrics; eigenvalues and eigenfunctions of the Laplacian; the study of periodic geodesics and the geodesic flow. Other topics are treated in less detail in a separate section. While Berger's survey is not intended for the complete beginner (one should already be familiar with notions of curvature and geodesics), he provides a detailed map to the major developments of Riemannian geometry from 1950 to 1999. Important threads are highlighted, with brief descriptions of the results that make up that thread. This supremely scholarly account is remarkable for its careful citations and voluminous bibliography. If you wish to learn about the results that have defined Riemannian geometry in the last half century, start with this book.
Book Synopsis Riemannian Geometry by : Isaac Chavel
Download or read book Riemannian Geometry written by Isaac Chavel and published by Cambridge University Press. This book was released on 1995-01-27 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to Riemannian geometry, the geometry of curved spaces. Its main theme is the effect of the curvature of these spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and those new notions and ideas motivated by curvature itself. Isoperimetric inequalities--the interplay of curvature with volume of sets and the areas of their boundaries--is reviewed along with other specialized classical topics. A number of completely new themes are created by curvature: they include local versus global geometric properties, that is, the interaction of microscopic behavior of the geometry with the macroscopic structure of the space. Also featured is an ambitious "Notes and Exercises" section for each chapter that will develop and enrich the reader's appetite and appreciation for the subject.
Book Synopsis Transformation Groups in Differential Geometry by : Shoshichi Kobayashi
Download or read book Transformation Groups in Differential Geometry written by Shoshichi Kobayashi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.