CURVE SHORTENING FLOWS ON ROTATIONAL SURFACES GENERATED BY MONOTONE CONVEX FUNCTIONS
CURVE SHORTENING FLOWS ON ROTATIONAL SURFACES GENERATED BY MONOTONE CONVEX FUNCTIONS
In this paper, we study curve shortening flows on rotational surfaces in ℝ3. We assume that the surfaces have negative Gauss curvatures and that some condition related to the Gauss curvature and the curvature of an embedded curve holds on them. Under these assumptions, we prove that the curve remains …