双共形不变量和Wodzicki留数

摘要

In this article, 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 and some special cases, they compute these double conformal invariants. Similarly to complex manifolds, they construct a new double conformal invariant using the Wodzicki residue and the 8 operator, and this double conformal invariant is computed in the flat case.%对紧致实流形,在Connes的框架下用Wodzicki留数和d算子构造了新的双共形不变量.在平坦的情形,计算了这个双共形不变量.类似的,对复流形,用Wodzicki留数和(б)算子构造了新的双共形不变量并计算出其平坦的情形.