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.

Bibliographic Details
Main Author: Ross, Carol
Language:English
Published: University of British Columbia 2011
Online Access:http://hdl.handle.net/2429/38043