*Ma 157b* - Riemannian geometry 2; Spring 2006

### Instructor: Danny Calegari

### MW 1:30-3 010 Thomas

### Grading policy:

One homework problem will be given out each Monday. This homework
is due at the start of class the following Monday.

### Description of course:

This course is an introduction to the theory of minimal surfaces.
We will discuss classical examples of minimal surfaces in
**R**^{3} and **R**^{n} via Weierstrass
representation formula, existence
and regularity properties in the Plateau problem, and then we
will discuss minimal surfaces in general Riemannian manifolds,
and their relations with geometry and topology. Students taking
this class should have already taken 157a or the equivalent.
Conversely, students who have already taken 157b in the past may
take this class again.

### References:

- Osserman,
*A survey of minimal surfaces* Dover revised edition,
1986
- Nitsche,
*Lectures on minimal surfaces Volume 1* Cambridge
University Press, 1989
- Colding and Minicozzi,
*Minimal surfaces* Courant Lecture Notes
in Mathematics 4, 1999