Geometry of Manifolds

As taught in: Fall 2004

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.)

Instructors:

Prof. Tomasz Mrowka

MIT Course Number:

18.965

Level:

Graduate

Course Features

Lecture notes

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.