Compact affine manifolds with precompact holonomy are geodesically complete
Differential Geometry
2015-12-22 v2 General Relativity and Quantum Cosmology
Abstract
This note proves the geodesic completeness of any compact manifold endowed with a linear connection such that the closure of its holonomy group is compact.
Cite
@article{arxiv.1511.03605,
title = {Compact affine manifolds with precompact holonomy are geodesically complete},
author = {Luis Aké Hau and Miguel Sánchez},
journal= {arXiv preprint arXiv:1511.03605},
year = {2015}
}
Comments
Final version to appear in JMAA (corrected two linguistic typos). 3 pages, latex