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The geometry of the generalized Gauss map

About this Title

David A. Hoffman and Robert Osserman

Publication: Memoirs of the American Mathematical Society
Publication Year 1980: Volume 28, Number 236
ISBNs: 978-0-8218-2236-4 (print); 978-1-4704-0640-0 (online)
MathSciNet review: 587748
MSC: Primary 53A10; Secondary 53C40

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Table of Contents


  • Introduction
  • 1. The generalized Gauss map
  • 2. The geometry of the quadric $Q_{n-2}$
  • 3. The Gauss map for minimal surfaces
  • 4. Degenerate minimal surfaces
  • 5. Minimal surfaces whose Gaussian images have constant curvature
  • 6. Complete Minimal Surfaces with Finite Total Curvature