Noncommutative Residue and sub-Dirac Operators for Foliations
Differential Geometry
2015-06-11 v1 Mathematical Physics
math.MP
Abstract
In this paper, we define lower dimensional volumes associated to sub-Dirac operators for foliations. In some cases, we compute these lower dimensional volumes. We also prove the Kastler-Kalau-Walze type theorems for foliations with or without boundary. As a corollary, we give an explanation of the gravitational action for the Robertson-Walker space .
Keywords
Cite
@article{arxiv.1209.6211,
title = {Noncommutative Residue and sub-Dirac Operators for Foliations},
author = {Jian Wang and Yong Wang},
journal= {arXiv preprint arXiv:1209.6211},
year = {2015}
}
Comments
32 pages. arXiv admin note: text overlap with arXiv:0907.3012