Homothetic vector field

ID: homothetic-vector-field

A homothetic vector field is a type of vector field in differential geometry and the study of Riemannian manifolds that encodes self-similarity characteristics of the manifold. More precisely, a vector field \( V \) on a Riemannian manifold \( (M, g) \) is said to be homothetic if it generates homotheties of the metric \( g \).

New to topics? Read the docs here!