Geometric PDE Seminar

A Gluing Construction for Solutions to Fully Nonlinear Equations in Conformal Geometry

We construct new solutions to the $\sigma_k$-Yamabe problem on compact manifolds by considering the connected sum of two nondegenerate solutions $(M^n_1,g_1)$ and $(M^n_2,g_2)$, for any $2 \leq 2k < n$.

Date & Time

April 07, 2009 | 3:30pm – 4:30pm

Location

S-101

Speakers

Giovanni Catino

Affiliation

Universit`a di Pisa, Italy

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