Surfaces contracting with speed |A|2

Oliver C. Schnurer

doi:10.4310/jdg/1143571987

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Home > Journals > J. Differential Geom. > Volume 71 > Issue 3 > Article

November 2005 Surfaces contracting with speed |A|²

Oliver C. Schnurer

J. Differential Geom. 71(3): 347-363 (November 2005). DOI: 10.4310/jdg/1143571987

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Abstract

We show that closed strictly convex surfaces contracting with normal velocity equal to |A|² shrink to a point in finite time. After appropriate rescaling, they converge to spheres. We describe our algorithm to find the main test function.

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Oliver C. Schnurer. "Surfaces contracting with speed |A|²." J. Differential Geom. 71 (3) 347 - 363, November 2005. https://doi.org/10.4310/jdg/1143571987