Complex sentence: Connections give rise to parallel transport along a curve on a manifold, it also leads to invariants of curvature (see also curvature tensor and curvature form), and the so-called torsion.
Split into simpler sentences: Connections give rise to parallel transport along a curve on a manifold. A connection also leads to invariants of curvature (see also curvature tensor and curvature form), and the so-called torsion.