Adiabatic Limits, Vanishing Theorems and the Noncommutative Residue
Differential Geometry
2010-01-11 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0609059,
title = {Adiabatic Limits, Vanishing Theorems and the Noncommutative Residue},
author = {Kefeng Liu and Yong Wang},
journal= {arXiv preprint arXiv:math/0609059},
year = {2010}
}