Essay
Solving the Isoperimetric problem on manifolds using metacalibrations
2010
Handle:
https://hdl.handle.net/2376/3045
Abstract
I investigated the isoperimetric problem using a new method of proof developed by Gary Lawlor at Brigham Young University, called Metacalibration on different manifolds . The isoperimetric problem can be stated as, given a fixed volume, find the figure that encloses that volume and minimizes surface area. For example, in two-dimensions a circle of the appropriate radius minimizes perimeter for a given area. In three dimensions, a sphere minimizes surface area for a given volume. In fact, it has been proved that in n dimensions, an n-sphere minimizes surface area.
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Details
- Title
- Solving the Isoperimetric problem on manifolds using metacalibrations
- Creators
- Amy Hancock (Author)Mike Kallaher (Author)Sergey Lapin (Author)
- Academic Unit
- Honors Theses (WSU Pullman, Passed with Distinction)
- Identifiers
- 99900590739101842
- Copyright
- http://rightsstatements.org/vocab/InC/1.0/; http://www.ndltd.org/standards/metadata; http://purl.org/eprint/accessRights/OpenAccess; In copyright; Publicly accessible; openAccess
- Language
- English
- Resource Type
- Essay