SEMINARIO GEOMETRÍA ICMAT

ON BACH-FLAT KAEHLER SURFACES

Ponente: Claude LeBrun (Stony Brook University)

Fecha: Martes, 28 de mayo de 2019 – 15:00 h

Lugar: Aula Naranja, ICMAT

Resumen: A Riemannian metric on a smooth compact 4-manifold is said to be Bach- flat if it is is a critical point of the L2-norm of the Weyl curvature. When the Riemannian 4-manifold in question is a Kaehler surface, I will describe a classification of solutions, together with detailed results regarding each case in the classification. We will see that every such manifold is either anti-self-dual, or globally conformally Einstein, or else is conformal to a pair of Poincare-Einstein manifolds, glued along conformal infinity.