Positively and non-negatively curved manifolds and (torus) symmetries
Location: MSRI: Simons Auditorium
Ricci curvature lower bounds
constant curvature complex manifolds
non-negative sectional curvature
positive sectional curvature
The classification of Riemannian manifolds with positive or non-negative sectional curvature is a long-standing problem in Riemannian Geometry. This talk will give a survey of tools and techniques, results and open problems concerning this class of manifolds with an emphasis on how (torus) symmetries play an important role in obtaining classification results
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