It involves the study of various types of manifolds, which are mathematical structures that generalize the notion of curves and surfaces to higher dimensions. Among these, Einstein manifolds play ...

The study of Ricci flow and the stability of Einstein manifolds is a significant area in differential geometry, focusing on the behavior of geometric structures under certain transformations.

Assuming positive sectional curvature and (very weak) symmetry assumption we aim to obtain topological constraints for the underlying smooth manifold. Assuming the Einstein condition with negative ...