Preliminaries on Submanifold Theory

By José Antonio Gálvez - U. Granada

September 1&2, 2014, IEMath, Granada (2+2 hours)

This is a pre-course on basic elements required for the course Mean curvature flow and related topics.

Contents:

  1. Introduction to smooth manifolds.
  2. The second fundamental form.
  3. Fundamental equations.
  4. Principal curvatures.