geodesicity

== English == === Etymology === From geodesic +‎ -ity. === Noun === geodesicity (uncountable) (mathematics) The property of a smooth curve being a geodesic or of a vector field to be geodesic in the context of differential geometry. (mathematics) The characterisation of a differentiable manifold in terms of its geodesics, such as the quality of a submanifold being totally geodesic.