Nonminimal de Rham-Hodge operators and non-commutative residue

作者：Wang, Jian; Wang, Yong^*; Sun, Aihui; Chen, Sihui

来源：Journal of Pseudo-Differential Operators and Applications, 2018, 9(2): 365-389.

DOI：10.1007/s11868-016-0181-9

• Nonminimal de Rham-Hodge operator
• Lower-dimensional volume
• Noncommutative residue

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.

• 出版日期2018-6
• 单位东北师范大学; 天津职业技术师范大学