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Minimal surfaces with embedded planar ends
Abstract
This paper investigates complete minimal surfaces in $\IR\sp3$ with finite total curvature and embedded planar ends. These surfaces, studied by R. Bryant in 1988, are conformal transforms of Willmore surfaces. By means of the "spinor representation" (D. Sullivan, 1989), the geometric data characterizing the behavior of the ends is translated to algebraic conditions, which are used to show non-existence, existence, and properties of various families.
Subject Area
Mathematics
Recommended Citation
Schmitt, Nicholas, "Minimal surfaces with embedded planar ends" (1993). Doctoral Dissertations Available from Proquest. AAI9408343.
https://scholarworks.umass.edu/dissertations/AAI9408343