Differential Geometry Notes

Here I show same photos of my notes written on a witheboard or a sheet of paper that summarize some important considerations about:

  • vector space,
  • dual space (or one-form space)
  • Tangent space on a point P of a manifold M
  • Cotangent space.
  • Tensors
  • Euler Lagrange equations

A summary scheme followes about relationships between components of vectors, covectors and tensors, both in general case and tangent and cotangent spaces on a manifold: