18.965 | Fall 2004 | Graduate
Geometry of Manifolds
Course Description
Geometry of Manifolds analyzes topics such as the differentiable manifolds and vector fields and forms. It also makes an introduction to Lie groups, the de Rham theorem, and Riemannian manifolds.
Learning Resource Types
notes Lecture Notes
assignment Problem Sets
A computer rendering of two curved planes- one intersected by a line, the other has been modified to avoid the intsection by bending the plane.
These figures show Whitney’s trick for removing intersection points of immersions. (Image by Prof. Tomasz Mrowka.)