Abstract: It is a classical question to understand which smooth manifolds admit Riemannian metrics with positive sectional curvature. In the presence of torus symmetry, much has been understood about this question. In joint work with Manuel Amann, we further this understanding by examining closely the question in small dimensions, where in some sense the majority of known examples exist. I will summarize our calculations, discuss relevant examples, and discuss what ideas are involved in our proofs.
Torus actions and positive curvature in small dimensions
Dr. Lee Kennard