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An Isoperimetric Inequality for the Heisenberg Groups Daniel Allcock*
 

Summary: 
An Isoperimetric Inequality for the Heisenberg Groups

Daniel Allcock*
July 21, 1995; revised 5 February 1997

allcock@math.utah.edu
web page: http://www.math.utah.edu/~allcock
Deptartment of Mathematics
University of Utah
Salt Lake City, UT 84112

1991 mathematics subject classification: 20F32 (53C20, 22E25)


Abstract.
We show that the Heisenberg groups H2n+1 of dimension five and higher, consid*
*ered as Rieman-
nian manifolds, satisfy a quadratic isoperimetric inequality. (This means tha*
*t each loop of length

  

Source: Allcock, Daniel - Department of Mathematics, University of Texas at Austin

 

Collections: Mathematics