Spectral methods for higher genus constant mean curvature surfaces

This thesis investigates two possible versions of a "spectral curve" construction for compact constant mean curvature (CMC) surfaces of genus g > 1 in [special characters omitted]. The first version uses the holonomy spectral curve which was originally formulated for tori in [special ch...

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Bibliographic Details
Main Author: Gerding, Aaron
Language:ENG
Published: ScholarWorks@UMass Amherst 2011
Subjects:
Online Access:https://scholarworks.umass.edu/dissertations/AAI3482626