Berger decomposition, Weitzenbock formula and canonical metrics on four-manifolds

Berger decomposition, Weitzenbock formula and canonical metrics on four-manifolds

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Peng Wu , Cornell University
Fine Hall 314

In this talk we will first provide an alternative proof of the Weitzenbock formula using Berger curvature decomposition, as applications we will discuss rigidity of Einstein four-manifolds under some positive curvature conditions. At the end we will discuss the Weitzenbock formula for generalized quasi-Einstein metrics on four-manifolds.