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On uniformization of complex manifolds : the role of connections /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gunning, Robert C. (Robert Clifford), 1931- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey : Princeton University Press, 1978.
Colección:Princeton legacy library.
Mathematical Notes ; 22.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • PREFACE
  • CONTENTS
  • ʹ 1. Introduction
  • ʹ 2. The group of k-jets and its Lie algebra
  • ʹ 3. The pseudogroups defined by partial differential equations
  • ʹ 4. The classification of tangentially transitive pseudogroups: algebraic aspects
  • ʹ 5. The classification of tangentially transitive pseudogroups: analytic aspects
  • ʹ 6. Pseudogroup structures and their associated connections
  • ʹ 7. Complex analytic affine connections
  • ʹ 8. Complex analytic projective connections
  • ʹ 9. Complex analytic canonical connections
  • ʹ 10. Complex flat canonical structures on surfaces
  • ʹ 11. Complex affine structures on surfaces
  • ʹ 12. Complex projective structures on surfaces
  • Bibliography
  • Backmatter.