In this paper we shall study a special class of solutions of the self-dual Yang-Mills equations.
The original self-duality equations which arose in mathematical physics were defined on …

A theory is the more impressive, the simpler are its premises, the more distinct are the things
it connects, and the broader is its range of applicability. Albert Einstein There are two …

We describe string vacuum configurations for which the radii (moduli) of the internal compact
space vary in four-dimensional space-time, focusing on configurations which have the …

The present book started from a set of lecture notes for a course taught to students at an
intermediate level in the German system (roughly corresponding to the beginning graduate …

Let Mbe a smooth, closed, compact surface of genus g> 2, let Λ€ 1I denote the space of
constant curvature—1 metrics on M, and letσ\dz\2 denote a particular element of^# _χ. The …

Let/'~ R a be a Jordan curve. The problem of finding surfaces of constant mean curvature
spanned by/'has been extensively studied, with a lengthy literature, including [2, 7, 8, 9, 18 …

AMS :: Bulletin of the American Mathematical Society Skip to Main Content American
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …

We begin with a friendly advice to our readers. Please, try an online map projection forum.
Do at least study the exercises. Remember: No one expects a guitarist to learn to play by …

In this dissertation, we show that there is a bijective map ${\cal A} $ from the set E of
equivalence classes of congruent (under Lorentz transformation) complete hyperbolic …

Let F: BCC-* R'be a generalized minimal immersion, ie, a harmonic and almost conformal
map of the closed unit disk B into Rn.(Almost conformal means conformal at all points where …