Nonminimal De Rham-Hodge Operators and Non-commutative Residue

27 Jul 2016 · Wang Jian, Wang Yong, Sun Aihui, Chen Sihui ·

In this paper, we get a Kastler-Kalau-Walze type theorem associated to nonminimal de Rham-Hodge operators on compact manifolds with boundary. We give two kinds of operator-theoretic explanations of the gravitational action in the case of four dimensional compact manifolds with flat boundary.