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Harmonic Mean Curvature Flow on Surfaces of Negative Gaussian Curvature
We consider the evolution of a surface of revolution with boundary Σ(t) in R 3 by the harmonic mean curvature flow (HMCF) where each point P moves in the normal inward direction with velocity equal to the harmonic mean curvature of the surface.We assume that the principal eigenvalues λ 1 …