Nonminimal De Rham-Hodge Operators and Non-commutative Residue

Abstract

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.

arXiv admin note: text overlap with arXiv:1404.6015, arXiv:1303.3713

References in corpus (6)

• Differential Forms and the Wodzicki Residue for Manifolds with Boundary
• Gravity and the Noncommutative Residue for Manifolds with Boundary
• Lower dimensional volumes and the Kastler-Kalau-Walze type theorem for Manifolds with Boundary
• Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case
• Wodzicki Residue for Operators on Manifolds with Cylindrical Ends
• A Note on the Einstein-Hilbert action and the Dirac operator on R^n