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Quadratic forms associated with planar endomorphisms
Published online by Cambridge University Press: 17 April 2009
Abstract
Any linear operator A on 2 is shown to have two real quadratic form on S1 associated with it. They represent the expansion and rotation of the map and the eigenvalues of A can be described in a geometrically intrinsic way in therms of the eigenvalues of these two quadratic forms via the formula
.
A number of theorems concerning these quadṙatic forms are presented.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 459 - 465
- Copyright
- Copyright © Australian Mathematical Society 2000