Description: On Uniformization of Complex Manifolds by Robert C. Gunning The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. In this study, Robert Gunning FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. In this study, Robert Gunning discusses the corresponding pseudogroup structures on higher-dimensional complex manifolds, modeled on the theory as developed for Riemann surfaces. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. Table of Contents *Frontmatter, pg. i*PREFACE, pg. iii*CONTENTS, pg. iv* 1. Introduction, pg. 1* 2. The group of k-jets and its Lie algebra, pg. 6* 3. The pseudogroups defined by partial differential equations, pg. 16* 4. The classification of tangentially transitive pseudogroups: algebraic aspects, pg. 21* 5. The classification of tangentially transitive pseudogroups: analytic aspects, pg. 39* 6. Pseudogroup structures and their associated connections, pg. 53* 7. Complex analytic affine connections, pg. 68* 8. Complex analytic projective connections, pg. 79* 9. Complex analytic canonical connections, pg. 95* 10. Complex flat canonical structures on surfaces, pg. 101* 11. Complex affine structures on surfaces, pg. 109* 12. Complex projective structures on surfaces, pg. 123*Bibliography, pg. 137 Long Description The classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. In this study, Robert Gunning discusses the corresponding pseudogroup structures on higher-dimensional complex manifolds, modeled on the theory as developed for Riemann surfaces. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. Details ISBN0691636443 Author Robert C. Gunning Short Title ON UNIFORMIZATION OF COMPLEX M Pages 148 Publisher Princeton University Press Language English ISBN-10 0691636443 ISBN-13 9780691636443 Media Book Format Hardcover Imprint Princeton University Press Place of Publication New Jersey Country of Publication United States DEWEY 515 Illustrations black & white illustrations Year 2016 Publication Date 2016-04-19 Translated from English Series Number 22 UK Release Date 2016-04-19 NZ Release Date 2016-04-19 US Release Date 2016-04-19 Audience Tertiary & Higher Education Alternative 9780691081762 AU Release Date 2016-06-27 Subtitle The Role of Connections Series Mathematical Notes We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:100790585;
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Book Title: On Uniformization of Complex Manifolds
