Some recent work on biharmonic maps and biharmonic submanifolds
(Texas A & M University-Commerce)
Time and Place
Thursday, November 29, 2012
Tea will be served at 3:30 PM in PHSC 424.
A biharmonic map is a map between Riemannian manifolds that is a critical point of the bienergy functional. They include biharmonic functions and harmonic maps (geodesics, minimal surfaces and submanifolds) as special examples, which have important applications in mathematics and theoretical physics. The first part of the talk will present some basic concepts, examples, and fundamental problems in the study of biharmonic maps. The second part of the talk will focus on some recent progress in the study of biharmonic hypersurfaces, an answer to the Generalized Chen’s Conjecture on biharmonic submanifolds, and some ongoing work on the Chen’s Conjecture on biharmonic submanifolds.
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