David González, Universidad Politécnica de Madrid
Title: Infinite families of manifolds of positive k-th
intermediate Ricci curvature with k small.
Abstract: Positive k-th intermediate Ricci curvature on a
of dimension n, to be denoted by Rick > 0, is
a condition that
interpolates between positive sectional and
positive Ricci curvature
(when k=1 and k=n-1 respectively). It
follows from the definition
that the smaller the k, the more
restrictive the condition Rick > 0.
In this talk we
will consider various kinds of metrics on closed
spaces, and we will discuss how to estimate the
least k for which they
satisfy Rick >0. In particular we will look at
infinite families of manifolds (including generalized
Aloff-Wallach spaces) that are topologically distinct and admit
metrics of Rick > 0 with k small. This is joint work
Miguel Dominguez-Vázquez and Lawrence Mouillé.