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- Title
THE OPTIMAL ISOPERIMETRIC INEQUALITY FOR TORUS BUNDLES OVER THE CIRCLE.
- Authors
BRIDSON, M. R.; GERSTEN, S. M.
- Abstract
The article analyzes the geometry of minimal van Kampen diagrams and relate their area to the structure of the polynomial for automorphism. The authors discuss the relationship between the growth of a matrix and the structure of its minimum polynomial. They conclude that their theorem admits a geometric interpretation in terms of the optimal type of isoperimetric inequalities satisfied by null-homotopic loops in torus bundles over the circle.
- Publication
Quarterly Journal of Mathematics, 1996, Vol 47, Issue 1, p1
- ISSN
0033-5606
- Publication type
Academic Journal
- DOI
10.1093/qmath/47.1.1