Northwestern University

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Harmonic Caps and Planar Conformal Geometry

Description:

In this thesis, we study the geometry of planar shapes and their harmonic caps. Specifically, given a compact continuum $P$, we are interested in constructing a planar cap $\hat P$ such that $P$ and $\hat P$ can be glued together along their boundary to form a topological sphere with prescribed...

Keyword:

Alexandrov realization, harmonic planarity, harmonic cap, and conformal geometry

Subject:

Mathematics

Creator:

Weng, Shuyi

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

02/01/2021

Date Created:

2020-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:15269 and etdadmin_upload_764499