On Uniformization of Complex Manifolds : : The Role of Connections (MN-22) /

On Uniformization of Complex Manifolds : : The Role of Connections (MN-22) / / 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 o...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
VerfasserIn:
Gunning, Robert C.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2015]
©1978
Year of Publication:2015
Language:English
Series:Mathematical Notes ; 22
Online Access:
Physical Description:1 online resource (148 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 08765nam a22019815i 4500
001 9781400869305
003 DE-B1597
005 20220131112047.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 220131t20151978nju fo d z eng d
020 |a 9781400869305 
024 7 |a 10.1515/9781400869305  |2 doi 
035 |a (DE-B1597)454290 
035 |a (OCoLC)979728158 
040 |a DE-B1597  |b eng  |c DE-B1597  |e rda 
041 0 |a eng 
044 |a nju  |c US-NJ 
072 7 |a MAT005000  |2 bisacsh 
100 1 |a Gunning, Robert C.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a On Uniformization of Complex Manifolds :  |b The Role of Connections (MN-22) /  |c Robert C. Gunning. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2015] 
264 4 |c ©1978 
300 |a 1 online resource (148 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Mathematical Notes ;  |v 22 
505 0 0 |t Frontmatter --   |t PREFACE --   |t CONTENTS --   |t § 1. Introduction --   |t Part I: Description of the pseudogroups --   |t § 2. The group of k-jets and its Lie algebra --   |t § 3. The pseudogroups defined by partial differential equations --   |t § 4. The classification of tangentially transitive pseudogroups: algebraic aspects --   |t § 5. The classification of tangentially transitive pseudogroups: analytic aspects --   |t Part II: Description of the connections --   |t § 6. Pseudogroup structures and their associated connections --   |t § 7. Complex analytic affine connections --   |t § 8. Complex analytic projective connections --   |t § 9. Complex analytic canonical connections --   |t Part III: Complex analytic surfaces --   |t § 10. Complex flat canonical structures on surfaces --   |t § 11. Complex affine structures on surfaces --   |t § 12. Complex projective structures on surfaces --   |t Bibliography --   |t Backmatter 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Complex manifolds. 
650 0 |a Connections (Mathematics). 
650 0 |a Pseudogroups. 
650 7 |a MATHEMATICS / Calculus.  |2 bisacsh 
653 |a Adjunction formula. 
653 |a Affine connection. 
653 |a Affine transformation. 
653 |a Algebraic surface. 
653 |a Algebraic torus. 
653 |a Algebraic variety. 
653 |a Analytic continuation. 
653 |a Analytic function. 
653 |a Automorphic function. 
653 |a Automorphism. 
653 |a Bilinear form. 
653 |a Canonical bundle. 
653 |a Characterization (mathematics). 
653 |a Cohomology. 
653 |a Compact Riemann surface. 
653 |a Complex Lie group. 
653 |a Complex analysis. 
653 |a Complex dimension. 
653 |a Complex manifold. 
653 |a Complex multiplication. 
653 |a Complex number. 
653 |a Complex plane. 
653 |a Complex torus. 
653 |a Complex vector bundle. 
653 |a Contraction mapping. 
653 |a Covariant derivative. 
653 |a Differentiable function. 
653 |a Differentiable manifold. 
653 |a Differential equation. 
653 |a Differential form. 
653 |a Differential geometry. 
653 |a Differential operator. 
653 |a Dimension (vector space). 
653 |a Dimension. 
653 |a Elliptic operator. 
653 |a Elliptic surface. 
653 |a Enriques surface. 
653 |a Equation. 
653 |a Existential quantification. 
653 |a Explicit formula. 
653 |a Explicit formulae (L-function). 
653 |a Exterior derivative. 
653 |a Fiber bundle. 
653 |a General linear group. 
653 |a Geometric genus. 
653 |a Group homomorphism. 
653 |a Hausdorff space. 
653 |a Holomorphic function. 
653 |a Homomorphism. 
653 |a Identity matrix. 
653 |a Invariant subspace. 
653 |a Invertible matrix. 
653 |a Irreducible representation. 
653 |a Jacobian matrix and determinant. 
653 |a K3 surface. 
653 |a Kähler manifold. 
653 |a Lie algebra representation. 
653 |a Lie algebra. 
653 |a Line bundle. 
653 |a Linear equation. 
653 |a Linear map. 
653 |a Linear space (geometry). 
653 |a Linear subspace. 
653 |a Manifold. 
653 |a Mathematical analysis. 
653 |a Mathematical induction. 
653 |a Ordinary differential equation. 
653 |a Partial differential equation. 
653 |a Permutation. 
653 |a Polynomial. 
653 |a Principal bundle. 
653 |a Projection (linear algebra). 
653 |a Projective connection. 
653 |a Projective line. 
653 |a Pseudogroup. 
653 |a Quadratic transformation. 
653 |a Quotient space (topology). 
653 |a Representation theory. 
653 |a Riemann surface. 
653 |a Riemann-Roch theorem. 
653 |a Schwarzian derivative. 
653 |a Sheaf (mathematics). 
653 |a Special case. 
653 |a Subalgebra. 
653 |a Subgroup. 
653 |a Submanifold. 
653 |a Symmetric tensor. 
653 |a Symmetrization. 
653 |a Tangent bundle. 
653 |a Tangent space. 
653 |a Tensor field. 
653 |a Tensor product. 
653 |a Tensor. 
653 |a Theorem. 
653 |a Topological manifold. 
653 |a Uniformization theorem. 
653 |a Uniformization. 
653 |a Unit (ring theory). 
653 |a Vector bundle. 
653 |a Vector space. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Legacy Lib. eBook Package 1931-1979  |z 9783110426847 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Legacy Lib. eBook Package Science  |z 9783110413595 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Mathematical Notes eBook-Package 1970-2016  |z 9783110494921  |o ZDB-23-PMN 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press Complete eBook-Package 2014-2015  |z 9783110665925 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691607924 
856 4 0 |u https://doi.org/10.1515/9781400869305 
856 4 0 |u https://www.degruyter.com/isbn/9781400869305 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400869305/original 
912 |a 978-3-11-041359-5 Princeton Legacy Lib. eBook Package Science 
912 |a 978-3-11-042684-7 Princeton Legacy Lib. eBook Package 1931-1979  |c 1931  |d 1979 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
912 |a 978-3-11-066592-5 Princeton University Press Complete eBook-Package 2014-2015  |c 2014  |d 2015 
912 |a EBA_BACKALL 
912 |a EBA_CL_MTPY 
912 |a EBA_EBACKALL 
912 |a EBA_EBKALL 
912 |a EBA_ECL_MTPY 
912 |a EBA_EEBKALL 
912 |a EBA_ESTMALL 
912 |a EBA_PPALL 
912 |a EBA_STMALL 
912 |a GBV-deGruyter-alles 
912 |a PDA12STME 
912 |a PDA13ENGE 
912 |a PDA18STMEE 
912 |a PDA5EBK 
912 |a ZDB-23-PMN  |c 1970  |d 2016 

Similar Items