Sub-signature Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary
Tong Wu, Sining Wei, Yong Wang
TL;DR
This paper establishes new formulas for sub-signature operators and proves Kastler-Kalau-Walze type theorems for 4D and 6D manifolds with boundary, advancing understanding of geometric analysis in these contexts.
Contribution
It introduces two Lichnerowicz type formulas for sub-signature operators and proves related Kastler-Kalau-Walze theorems for specific dimensions with boundary.
Findings
Derived Lichnerowicz type formulas for sub-signature operators
Proved Kastler-Kalau-Walze theorems for 4D and 6D manifolds with boundary
Extended geometric analysis tools for manifolds with boundary
Abstract
In this paper, we obtain two Lichnerowicz type formulas for sub-signature operators. And we give the proof of Kastler-Kalau-Walze type theorems for sub-signature operators on 4-dimensional and 6-dimensional compact manifolds with (resp.without) boundary.
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