Gluing constructions for noncompact geometric problems
Daniel Pollack
(University of Chicago and UW)
Saturday, May 4
11:30AM
We will discuss a general method of performing certain analytic
connected sums in geometry. The main idea is that a global
`nondegeneracy' assumption (which for a compact problem is
simply invertibility of the Jacobi operator) should enable one
to easily glue two solutions of a geometric PDE together to
obtain a new solution. An application of this to the
construction of conformally flat, noncompact manifolds with
constant positive scalar curvature will be presented (this is
joint work with R. Mazzeo and K. Uhlenbeck). The analogous
problem of gluing together complete, embedded, constant mean
curvature surfaces will also be discussed.
To request disability accommodations, contact the Office of the ADA
Coordinator, ten days in advance of the event or as soon as possible:
543-6450 (voice); 543-6452 (TDD); 685-3885 (FAX); access@u.washington.edu (E-mail).
Back to
Spring 1996 meeting of the PNGS.
Suggestions or corrections to
Jack Lee <lee@math.washington.edu>.