INTRO-DIFFERENTIABLE MANIFOLDS

3.00 points · University catalogue

Prerequisites: ( MATH GU4051 or MATH GU4061 ) and MATH UN2010 Concept of a differentiable manifold. Tangent spaces and vector fields. The inverse function theorem. Transversality and Sards theorem. Intersection theory. Orientations. Poincare-Hopf theorem. Differential forms and Stokes theorem