%0 Journal Article %T Non-flat extension of flat vector bundles %A Indranil Biswas %A Viktoria Heu %J Mathematics %D 2014 %I arXiv %X We construct a pair (E ,F), where E is a holomorphic vector bundle over a compact Riemann surface and F a holomorphic subbundle of E, such that both F and E/F admit holomorphic connections, but E does not. %U http://arxiv.org/abs/1409.3178v2