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SUMMARY:Renan Assimos (Leibniz Universitaet Hannover)
DTSTART:20201013T170000Z
DTEND:20201013T180000Z
DTSTAMP:20260423T035031Z
UID:OSGA/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/34/">On
  a spherical Bernstein theorem by B. Solomon</a>\nby Renan Assimos (Leibni
 z Universitaet Hannover) as part of Online Seminar "Geometric Analysis"\n\
 n\nAbstract\nJoint work with J. Jost: A result of B.Solomon (On the Gauss 
 map of an area-minimizing hypersurface. 1984. Journal of Differential Geom
 etry\, 19(1)\, 221-232.) says that a compact minimal hypersurface $M^k$ of
  the sphere $S^{k+1}$ with $H^1(M)=0$\, whose Gauss map omits a neighborho
 od of an $S^{k−1}$ equator\, is totally geodesic in $S^{k+1}$. In this t
 alk\, I will present a new proof strategy for Solomon's theorem which allo
 ws us to obtain analogous results for higher codimensions. If time permits
 \, we sketch the proof for codimension 2 compact minimal submanifolds of $
 S^{k+1}$.\n
LOCATION:https://researchseminars.org/talk/OSGA/34/
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