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In this course, students take turns in giving lectures.

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English

English [CC]

FREE

Description

For the most part, the lectures are based on Robert Osserman’s classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140.

Course content

  • Introduction Unlimited
  • A Review on Differentiation Unlimited
  • Inverse Function Theorem Unlimited
  • Implicit Function Theorem Unlimited
  • First Fundamental Form Unlimited
  • Curves Unlimited
  • Gauss Map I: Background and Definition Unlimited
  • Gauss Map II: Geometric Interpretation Unlimited
  • Gauss Map III: Local Coordinates Unlimited
  • Introduction to Minimal Surfaces I Unlimited
  • Introduction to Minimal Surfaces II Unlimited
  • Review on Complex Analysis I Unlimited
  • Review on Complex Analysis II Unlimited
  • Isothermal Parameters Unlimited
  • Bernstein’s Theorem Unlimited
  • Manifolds and Geodesics I Unlimited
  • Manifolds and Geodesics II Unlimited
  • Complete Minimal Surfaces I Unlimited
  • Complete Minimal Surfaces II Unlimited
  • Weierstrass-Enneper Representations Unlimited
  • Gauss Maps and Minimal Surfaces Unlimited

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Instructor

Massachusetts Institute of Technology
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