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Published in 2020 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972720000179
Abstract: We prove rigidity theorems for ancient solutions of geometric flows of immersed submanifolds. Specifically, we find conditions on the second fundamental form that characterise the shrinking sphere among compact ancient solutions for the mean curvature…
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Keywords:
surfaces curvature;
two surfaces;
solutions codimension;
ancient solutions ... See more keywords
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Published in 2021 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972721000022
Abstract: [1] C. Baker and H. T. Nguyen, ‘Codimension two surfaces pinched by normal curvature evolving by mean curvature flow’, Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), 1599–1610. [2] Z. Ji, ‘Ancient solutions of…
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Keywords:
two surfaces;
curvature pinching;
solutions codimension;
ancient solutions ... See more keywords