Smooth Approximation of Lipschitz Projections
Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 762-766
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We show that any Lipschitz projection-valued function $p$ on a connected closed Riemannian manifold can be approximated uniformly by smooth projection-valued functions $q$ with Lipschitz constant close to that of $p$ . This answers a question of Rieffel.
Li, Hanfeng. Smooth Approximation of Lipschitz Projections. Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 762-766. doi: 10.4153/CMB-2011-096-4
@article{10_4153_CMB_2011_096_4,
author = {Li, Hanfeng},
title = {Smooth {Approximation} of {Lipschitz} {Projections}},
journal = {Canadian mathematical bulletin},
pages = {762--766},
year = {2012},
volume = {55},
number = {4},
doi = {10.4153/CMB-2011-096-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-096-4/}
}
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