This volume is intended to allow mathematicians and physicists, especially analysts, to learn about nonlinear problems which arise in Riemannian
Geometry.
Analysis on Riemannian manifolds is a field currently undergoing great
development. More and more, analysis proves to be a very powerful means
for solving geometrical problems. Conversely, geometry may help us to solve
certain problems in analysis.
There are several reasons why the topic is difficult and interesting. It is
very large and almost unexplored. On the other hand, geometric problems
often lead to limiting cases of known problems in analysis, sometimes there
is even more than one approach, and the already existing theoretical studies
are inadequate to solve them. Each problem has its own particular difficulties.