Cylindrical estimates for mean curvature flow of hypersurfaces in CROSSes - Archive ouverte HAL
Article Dans Une Revue Annals of Global Analysis and Geometry Année : 2017

Cylindrical estimates for mean curvature flow of hypersurfaces in CROSSes

Résumé

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.

Dates et versions

hal-01992509 , version 1 (24-01-2019)

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Citer

Giuseppe Pipoli, Carlo Sinestrari. Cylindrical estimates for mean curvature flow of hypersurfaces in CROSSes. Annals of Global Analysis and Geometry, 2017, 51 (2), pp.179-188. ⟨10.1007/s10455-016-9530-4⟩. ⟨hal-01992509⟩
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