Complete Embedded Harmonic Surfaces in R<sup>3</sup>
Complete Embedded Harmonic Surfaces in R<sup>3</sup>
Embedded minimal surfaces of finite total Gaussian curvature in are well understood as intersecting catenoids and planes, suitably desingularized. We consider the larger class of harmonic embeddings in of compact Riemann surfaces with finitely many punctures parameterized by meromorphic data. This paper is motivated by two outstanding features of such …