Abstract
In this short note, we construct a retracting deformation from group of orientation-preserving diffeomorphisms onto the group of volume-preserving diffeomorphismsof a compact smooth manifold. The retracting deformation isrealized by a moment map type of flow with the aid of the theory of quasi-linear parabolic equations.
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Dai, B., Wang, HY. A Note on Diffeomorphism Groups of Closed Manifolds. Annals of Global Analysis and Geometry 21, 135–140 (2002). https://doi.org/10.1023/A:1014706404871
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DOI: https://doi.org/10.1023/A:1014706404871