The aim is to provide a proof for the Kastler-Kalau-Walze type theorem specifically for 5-dimensional manifolds with boundaries.
Utilized a brute-force approach to develop the proof
Focused on the specific context of the 5-dimensional manifold and its boundary
Analyzed the statistical de Rham Hodge operator within this framework
Successfully established the Kastler-Kalau-Walze type theorem for the defined conditions
Provided foundational insights into the behavior of the statistical de Rham Hodge operator in the context of the manifold
Demonstrated implications for the study of geometric structures with boundary
Abstract
Abstract In this paper, we give a brute-force proof of the Kastler-Kalau-Walze type theorem for 5-dimensional manifolds with boundary for statistical de Rham Hodge operator.