A Theory of Branched Minimal Surfaces

One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not; i.e. does its derivative have maximal rank everywhere. The purpose of this monograph is to present an elementary proof of this very fundamental and beautifu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Tromba, Anthony (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Springer Monographs in Mathematics,
Temas:
Functions of complex variables.
Sequences (Mathematics).
Geometry, Differential.
Global analysis (Mathematics).
Manifolds (Mathematics).
Functions of a Complex Variable.
Sequences, Series, Summability.
Differential Geometry.
Global Analysis and Analysis on Manifolds.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1.Introduction
  • 2.Higher order Derivatives of Dirichlets' Energy
  • 3.Very Special Case; The Theorem for n + 1 Even and m + 1 Odd
  • 4.The First Main Theorem; Non-Exceptional Branch Points
  • 5.The Second Main Theorem: Exceptional Branch Points; The Condition k > l
  • 6.Exceptional Branch Points Without The Condition k > l
  • 7.New Brief Proofs of the Gulliver-Osserman-Royden Theorem
  • 8.Boundary Branch Points
  • Scholia
  • Appendix
  • Bibliography.

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