The Coincidence Lefschetz Number For Self-Maps of Lie groups

Authors

Adil G. Naoum
Ban Jaffar AL-Ta'iy

Abstract

Let f. h:GG be any two self maps of a compact connected oriented Lie group G. In this paper, for each positive integerk, we associate an integer with f,h. We relate this number with Lefschetz coincidence number. We deduce that for any two differentiable mapsf, h: GG, there exists a positive integer k such that k≤1+1, and there is a point x € G such that f (x) = h(x), where is the rank of G.

Article Type

Article

How to Cite this Article

Naoum, Adil G. and AL-Ta'iy, Ban Jaffar (2006) "The Coincidence Lefschetz Number For Self-Maps of Lie groups," Baghdad Science Journal: Vol. 3: Iss. 3, Article 15.
DOI: https://doi.org/10.21123/bsj.2006.727