Title :
On the Isoperimetric Inequality in the Heisenberg Group
Author_Institution :
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
Abstract :
We give a new proof that Carnot - Caratheodory ball in the Heisenberg group H1 is not isoperimetric set; under the hypothesis that there were isoperimetric set in the class A, we give the best constant .
Keywords :
group theory; Carnot-Caratheodory ball; Heisenberg group; isoperimetric inequality; isoperimetric set; Electronic mail; Extraterrestrial measurements; Mathematics; Presses; Reactive power;
Conference_Titel :
Control, Automation and Systems Engineering (CASE), 2011 International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-0859-6
DOI :
10.1109/ICCASE.2011.5997597