Geometry of Manifolds

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.)


MIT Course Number


As Taught In

Fall 2004



Cite This Course

Course Features

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.

Tomasz Mrowka. 18.965 Geometry of Manifolds, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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