Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Generic spines as cut loci of Riemannian manifolds.

Generic spines as cut loci of Riemannian manifolds.

Bay Area Differential Geometry Seminar November 21, 2009 - November 21, 2009

November 21, 2009 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Hyam Rubinstein
Video
No Video Uploaded
Abstract This is joint work with Chris Goddard. In 1968 Alan Weinstein showed that any smooth closed manifold M, except for the 2-sphere, admits a Riemannian metric so that there are no conjugate points in the cut locus from some base point. We extend this result to show that any generic spine for M can be made into the cut locus, again so that there are no conjugate points. Finally, the Riemannian distance function from some base point is of Morse type and has the property that there is one critical point for each face F of the spine and the index is the codimension of the face.
Supplements No Notes/Supplements Uploaded
Video/Audio Files No Video Files Uploaded