• Corpus ID: 249209659

On the Convergence of Non-Integer Linear Hopf Flow

  title={On the Convergence of Non-Integer Linear Hopf Flow},
  author={Brendan Guilfoyle and M. A. Robson},
. The evolution of a rotationally symmetric surface by a linear com- bination of its radii of curvature equation is considered. It is known that if the coefficients form certain integer ratios the flow is smooth and can be integrated explicitly. In this paper the non-integer case is considered for certain values of the coefficients and with mild analytic restrictions on the initial surface. We prove that if the focal points at the north and south poles on the initial surface coincide, the flow… 


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