Noncommutative residue and sub-Dirac operators for foliations

被引：5
|
作者：
Wang, Jian [1 ]
Wang, Yong [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 01期
基金：
美国国家科学基金会;
关键词：
LOWER-DIMENSIONAL VOLUMES; DIFFERENTIAL FORMS; MANIFOLDS; GEOMETRY; GRAVITY;
D O I：
10.1063/1.4773878
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we define lower dimensional volumes associated with 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 [a, b] x (f) M-3. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4773878]
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页数：35
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