A necessary and sufficient condition is given for a nontrivial homology class of a simply connected 4-manifold to be represented by a simple, topologically locally flat embedding of a compact Riemann ...

Let R be a hyperbolic Riemann surface embedded in a compact Riemann surface of genus g and let f be an analytic function mapping R into R, f not the identity function. Then f has as most 2g + 2 ...

Complex analysis and minimal surfaces constitute deeply intertwined fields that have consistently enriched each other through mutual advances in theory and application. In this context, complex ...