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- W1483324775 abstract "We provide explicit examples which show that mean convexity (i.e. positivity of the mean curvature) and positivity of the scalar curvature are non-preserved curvature conditions for hypersurfaces of the Euclidean space evolving under either the volume- or the area preserving mean curvature flow. The relevance of our examples is that they disprove some statements of the previous literature, overshadow a widespread folklore conjecture about the behaviour of these flows and bring out the discouraging news that a traditional singularity analysis is not possible for constrained versions of the mean curvature flow." @default.
- W1483324775 created "2016-06-24" @default.
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- W1483324775 date "2014-12-28" @default.
- W1483324775 modified "2023-09-27" @default.
- W1483324775 title "Non-preserved curvature conditions under constrained mean curvature flows" @default.
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