Rigidity of Isometric Embeddings

Research Horizons Seminar
Wednesday, October 17, 2012 - 12:05
1 hour (actually 50 minutes)
Skiles 005
Georgia Tech - School of Math
One of the most outstanding problems in differential geometry is concerned with flexibility of closed surface in Euclidean 3-space: Is it possible to continuously deform a smooth closed surface without changing its intrinsic metric structure? In this talk I will give a quick survey of known results in this area, which is primarily concerned with convex surfaces, and outline a program for studying the general case.