Minimal and constant mean curvature surfaces in various three-manifolds

This work is divided into three sections. In the first, we construct new complete finite total curvature minimal surfaces in $\IR\sp3$ with ends asymptotic to catenoids. These have positive genus and maintain the symmetries of their genus zero counterparts. We use the conjugate surface construction,...

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Bibliographic Details
Main Author: Berglund, Jan-Olof Jorgen
Language:ENG
Published: ScholarWorks@UMass Amherst 1996
Subjects:
Online Access:https://scholarworks.umass.edu/dissertations/AAI9721432