Index theory for scalar curvature on manifolds with boundary
John Lott
TL;DR
This paper extends existing index theory results related to scalar curvature to the setting of manifolds with boundary, broadening the scope of geometric analysis in this area.
Contribution
It generalizes previous scalar curvature index theorems to manifolds with boundary, providing new tools for geometric and topological analysis.
Findings
Extended index theory results to manifolds with boundary
Provided new conditions for scalar curvature constraints
Enhanced understanding of boundary effects on scalar curvature
Abstract
We extend results of Llarull and Goette-Semmelmann to manifolds with boundary.
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