We consider the mean curvature flow of a closed hypersurface in the complex or quaternionic projective space. Under a suitable pinching assumption on the initial data, we prove apriori estimates on the principal curvatures which imply that the asymptotic profile near a singularity is either strictly convex or cylindrical. This result generalizes to a large class of symmetric ambient spaces the estimates obtained in the previous works on the mean curvature flow of hypersurfaces in Euclidean space and in the sphere.
Titolo: | Cylindrical estimates for mean curvature flow of hypersurfaces in CROSSes |
Autori: | |
Data di pubblicazione: | 2017 |
Rivista: | |
Handle: | http://hdl.handle.net/11697/142296 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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