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Compact affine manifolds with precompact holonomy are geodesically complete (bibtex)
@article{AkeMiguel2016,
author = {Aké, L. and Sánchez, M.},
title={Compact affine manifolds with precompact holonomy are geodesically complete},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {436},
pages={1369–1371},
year ={2016},
arxiv={1511.03605},
}
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Published on  March 29th, 2016