Extrinsic Geometric Flows

Extrinsic geometric flows refer to a class of mathematical processes that involve the evolution of geometrical structures, often surfaces or higher-dimensional manifolds, within a space that is defined by an ambient geometry, typically Euclidean space or another Riemannian manifold. The evolution is expressed through a partial differential equation that governs how the geometry changes over time. In extrinsic geometric flows, the geometry of a manifold or surface is considered in relation to its embedding in a higher-dimensional space.