A proof of a Melrose's trace formula
Yves Colin de Verdi\`ere (IF)
TL;DR
This paper presents a new proof extending the wave trace formula to 3D-contact manifolds using a normal form reduction to the Heisenberg group, advancing understanding in geometric analysis.
Contribution
It provides a novel proof of Melrose's trace formula extension for 3D-contact manifolds via a reduction to the Heisenberg group.
Findings
Extension of wave trace formula to 3D-contact manifolds
Normal form reduction to the Heisenberg group
Simplified proof technique
Abstract
We give a new proof ofan extension of the Chazarain-Duistermaat-Guillemin wave traceformula to the case of 3D-contact manifolds.We use a normal form allowing to reduce to the case of the Heisenberg group.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Nonlinear Waves and Solitons