A general Dabrowski-Sitarz-Zalecki type theorems for manifold with boundary
Tong Wu, Yong Wang
TL;DR
This paper extends Dabrowski-Sitarz-Zalecki type theorems to spectral Einstein functionals related to the Dirac operator on manifolds with boundary, covering both even and odd dimensions.
Contribution
It provides a general proof of Dabrowski-Sitarz-Zalecki type theorems for spectral Einstein functionals on manifolds with boundary, expanding previous results to include boundary cases.
Findings
Established Dabrowski-Sitarz-Zalecki type theorems for manifolds with boundary.
Unified treatment for even and odd dimensional manifolds.
Extended spectral Einstein functional analysis to boundary cases.
Abstract
In [17], we obtained the spectral Einstein functional associated with the Dirac operator for n-dimensional manifolds without boundary. In this paper, we give the proof of general Dabrowski-Sitarz-Zalecki type theorems for the spectral Einstein functional associated with the Dirac operator on even and odd dimensional manifolds with boundary.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Geometric Analysis and Curvature Flows · Holomorphic and Operator Theory