Extremal metrics on blow ups (2006)
Arezzo, C., Pacard, F., Singer, M.
Given a compact Kahler manifold with an extremal metric (M,\omega), we give sufficient conditions on finite sets points p_1,...,p_n and weights a_1,...a_n for which the blow up of M at p_1,...,p_n...
Riemann minimal surfaces in higher dimensions (2006)
We prove the existence of a one parameter family of minimal embedded hypersurfaces in $R^{n+1}$, for $n \geq 3$, which generalize the well known 2 dimensional "Riemann minimal surfaces". The...
An end-to-end construction for compact constant mean curvature surfaces (2003)
We explain how the current knowledge on the set of complete noncompact constant mean curvature surfaces can be exploited to produce new examples of compact constant mean curvature surfaces of genus...