Arnolds' seminar
Sep 18, 2001
First 45 minutes talk

Martijn van Manen (Utrecht)
"Some properties of conflict sets in R^n"
  
Conflict sets are obtained as the locus of centers of spheres
that touch  k  hypersurfaces in R^n  at least once.
If  k=2 and the conflict set  is a smooth hypersurface we
compute the curvature of this hypersurface.
Also when k=n=3 and the conflict set is a space curve
we compute its curvature and torsion.