2004/03/23 by William J. Ugalde, Ugalde, William J.
Mathematics · #53A30 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53A30
paper · pdf · doi:10.48550/arxiv.math/0403392
19 pages
arxiv created 2005/01/13 · arxiv updated 2009/12/01
For an even dimensional, compact, conformal manifold without boundary we construct a conformally invariant differential operator of order the dimension of the manifold. In the conformally flat case, this operator coincides with the critical \sf GJMS operator of Graham-Jenne-Mason-Sparling. We use the Wodzicki residue of a pseudo-differential operator of order -2, originally defined by A. Connes, acting on middle dimension forms.