An excursion into geometric analysis
Tobias H. Colding, William P. Minicozzi II,
2003.09.01
http://arxiv.org/abs/math/0309021
This is a guided tour through some selected topics in geometric analysis. We
have chosen to illustrate many of the basic ideas as they apply to the theory
of minimal surfaces. This is, in part, because minimal surfaces is, if not the
oldest, then certainly one of the oldest areas of geometric analysis dating
back to Euler's work in the 1740's and in fact many of the basic ideas in
geometric analysis originated in the study of minimal surfaces. In any case,
the ideas apply to a variety of different fields and we will mention some of
these as we go along.
