University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Compactness theorems for minimal hypersurfaces with bounded index

Compactness theorems for minimal hypersurfaces with bounded index

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  • UserBenjamin Sharp, Imperial College London
  • ClockMonday 19 January 2015, 15:00-16:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Amit Einav.

I will present a new compactness theorem for minimal hypersurfaces embedded in a closed Riemannian manifold N^{n+1} with n less than 7. When n=2 and N has positive Ricci curvature, Choi and Schoen proved that a sequence of minimal hypersurfaces with bounded genus converges smoothly and graphically to some minimal limit. A corollary of our main theorem recovers the result of Choi-Schoen and extends this appropriately for all n less than 7..

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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