Nonminimal de Rham–Hodge operators and non-commutative residue

被引：0

作者：

Jian Wang

Yong Wang

Aihui Sun

Sihui Chen

机构：

[1] Tianjin University of Technology and Education,School of Science

[2] Northeast Normal University,School of Mathematics and Statistics

来源：

Journal of Pseudo-Differential Operators and Applications | 2018年 / 9卷

关键词：

Nonminimal de Rham–Hodge operator; Lower-dimensional volume; Noncommutative residue; 53G20; 53A30; 46L87;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we prove various Kastler–Kalau–Walze type theorems associated with nonminimal de Rham–Hodge operators on compact manifolds with boundary. Under the announced by Alain Connes, that the Wodzicki residue of the inverse square of the Dirac operator is proportional to the Einstein–Hilbert action of general relativity, one obtains the gravitational action in the case of four dimensional compact manifolds with flat boundary.

引用

页码：365 / 389

页数：24

共 28 条

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