Posted in

Speaker:

Renato Bettiol
Affiliation:

U of Pennsylvania/MPIM
Date:

Thu, 2016-11-17 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

Oberseminar Differentialgeometrie The Yamabe problem consists of finding a complete metric with constant

scalar curvature in a prescribed conformal class. A landmark

achievement of Geometric Analysis is that a solution always exists on

compact manifolds, but the situation is more delicate in the

noncompact case: there are complete noncompact manifolds where no

solutions exist. In this talk, I will discuss how analytic and

topological techniques can be combined to obtain infinitely many

solutions on certain manifolds (both compact and noncompact). As a

consequence, one obtains infinitely many new solutions to the

so-called singular Yamabe problem on spheres. (This is based on joint

works with P. Piccione and B. Santoro)

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |