2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215126The existence of a nowhere zero real vector field implies a well-known restriction on a compact manifold. But all manifolds admit nowhere zero complex vector fields. The relation between these observations is clarified.2 pagesDifferential Geometry57R25 (Primary); 57R20 (Secondary)Non-vanishing complex vector fields and the Euler characteristictext