Harmonic maps and gauss maps

  • Yuanlong Xin
Chapter
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 23)

Abstract

The classical Gauss map is important in the minimal surface theory of 3-dimensional Euclidean space. For general submanifolds in Euclidean space we can define a generalized Gauss map. In many cases properties of submanifolds are characterized by their Gauss maps and closely link with the theory of harmonic maps. We now present some results in this direction.

Keywords

Manifold 

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Copyright information

© Birkhäuser Boston 1996

Authors and Affiliations

  • Yuanlong Xin
    • 1
  1. 1.Institute of MathematicsFudan UniversityShanghaiChina

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