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Novaga: Timelike minimal surfaces


We consider the class of timelike minimal surfaces in the flat Minkowski space, which admit a $C^1$ parametrization of a specic form. We prove that, if the distinguished parametrization is in fact $C^k$, then the surface is regularly immersed away from a singular set of dimension at most $1+1/k$, and that this bound is sharp. We also show that, generically with respect to a natural topology, if $n=2$ the singular set is one-dimensional, and if $n\ge$ 4 the singular set is empty. For $n=3$ both situations can occurr.
http://cvgmt.sns.it/seminar/300/
When
Wed Oct 31, 2012 4pm – 5pm Coordinated Universal Time
Where
Sala Seminari, Department of Mathematics, Pisa University (map)