Relative Yamabe invariant and c-concordant metrics
Emmanuel Humbert (IECN)
TL;DR
This paper introduces a surgery formula for the relative Yamabe invariant and explores its implications for the classification of metrics based on concordance, advancing understanding in geometric analysis.
Contribution
It provides a new surgery formula for the relative Yamabe invariant and applies it to analyze c-concordance classes of metrics.
Findings
Established a surgery formula for the relative Yamabe invariant
Applied the formula to classify metrics into concordance classes
Enhanced understanding of metric invariants in geometric analysis
Abstract
We show a surgery formula for the relative Yamabe invariant and give applications to the study of concordance classes of metrics.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Analytic and geometric function theory · Homotopy and Cohomology in Algebraic Topology