The isoperimetric inequality in Rⁿ
This thesis presents a complete proof of the isoperimetric inequality for a smooth surface in Euclidean space. The proof uses the Brunn-Minkowski Inequality, the formulae for the first variations of area and Alexandrov’s theorem.
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| Language: | English |
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University of British Columbia
2011
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| Online Access: | http://hdl.handle.net/2429/38043 |
| Summary: | This thesis presents a complete proof of the isoperimetric inequality for a smooth surface in Euclidean space. The proof uses the Brunn-Minkowski
Inequality, the formulae for the first variations of area and Alexandrov’s theorem. |
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