Double Conformal Invariants and the Wodzicki Residue

2011/01/06 by Jian Wang, Yong Wang, Wang, Jian +1
Mathematics · #46L87 #53A30 #58G20 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:46L87 #msc:53A30 #msc:58G20

paper · pdf · doi:10.48550/arxiv.1101.1131

arxiv created 2011/01/06 · arxiv updated 2011/01/07

Abstract

For compact real manifolds, a new double conformal invariant is constructed using the Wodzicki residue and the d operator in the framework of Connes. In the flat case, we compute this double conformal invariant, and in some special cases, we also compute this double conformal invariants. For complex manifolds, a new double conformal invariant is constructed using the Wodzicki residue and the ∂ operator in the same way, and this double conformal invariant is computed in the flat case.

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