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arXiv · 1511.03605

Compact affine manifolds with precompact holonomy are geodesically complete

Luis Aké Hau·Miguel Sánchez
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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.

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Luis Aké Hau, Miguel Sánchez. 2015-12-21. Compact affine manifolds with precompact holonomy are geodesically complete. https://arxiv.org/abs/1511.03605

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