Adiabatic Limits, Vanishing Theorems and the Noncommutative Residue

Details Adiabatic Limits, Vanishing Theorems and the Noncommutative Residue Adiabatic Limits, Vanishing Theorems and the Noncommutative Residue

2006-09-02

arxiv.org/abs/math/0609059v1

Science in China Ser. A Vol 52(2009) 2699-2713.

Mathematics

Differential Geometry

Scientific paper

In this paper, we compute the adiabatic limit of the scalar curvature and
prove several vanishing theorems, we also derive a Kastler-Kalau-Walze type
theorem for the noncommutative residue in the case of foliations.

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