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Regular k-Surfaces

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

Abstract

Roughly speaking, a regular surface in \(\mathbb{R}^3\) is a two-dimensional set of points, in the sense that it can be locally described by two parameters (the local coordinates) and with the property that it is smooth enough (that is, there are no vertices, edges, or self-intersections) to guarantee the existence of a tangent plane to the surface at each point.

Keywords

Tangent Space Tangent Vector Open Neighborhood Tangent Plane Implicit Function Theorem 
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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