<p>Incremental sheet metal forming (ISMF) is a dieless manufacturing process capable of shaping complex parts through a local deformation process. The geometry of the part, particularly its surface curvature, plays a decisive role in governing the deformation induced during ISF, directly affecting formability limits. Formability in ISMF is evaluated in the context of critical wall angle and strain accommodation. The possibility of path planning for ISMF by systematically analysing the local curvature is explored. Different components of curvature measure, namely major principal curvature and minor principal curvature, are quantified across typical benchmark shapes (cone with a constant wall angle (CWA) and conical frustum with a variable wall angle (VWA)), and an attempt is made to correlate the local curvature with the part formability. This study explores the direct impact of geometric curvature on thinning behaviour, strain evolution, and formability during the ISMF process. Three experimental cases are taken into consideration in order to evaluate the formability of formed components. According to the experimental findings, formability consistently increases as the curvature of the profile increases in all of the scenarios under investigation.</p>