Coloquio del ciem – Cristoph Böhm

Viernes 29 de julio aa hs. Aula 13

Título: «On a gap theorem for homogeneous spaces»

Resumen: We show that homogeneous spaces cannot be «too» Ricci flat unless they are already flat. This is equivalent to the fact, that the norm of the full curvature tensor of a homogeneous metric can be bounded from the above by the norm of the Ricci tensor multiplied by a constant depending only on dimension.Applications to homogeneous Ricci flows will be given.