Surfaces with Boundary

  • Antonio Galbis
  • Manuel Maestre
Chapter
Part of the Universitext book series (UTX)

Abstract

One of the objectives of this book is to obtain a rigorous proof of a version of Green’s formula for compact subsets of \(\mathbb{R}^2\) whose topological boundary is a regular curve of class C 2. These sets are typical examples of what we will call regular 2-surfaces with boundary in \(\mathbb{R}^2\). The analogous three-dimensional example would consist of a compact set of \(\mathbb{R}^3\) whose topological boundary is a regular surface of class C 2. The following example is perhaps instructive.

Keywords

Coordinate System Normal Vector Open Subset Tangent Space Open Neighborhood 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Antonio Galbis
    • 1
  • Manuel Maestre
    • 1
  1. 1.Depto. Análisis MatemáticoUniversidad de ValenciaValenciaSpain

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