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math.DG2024
Non-persistence of strongly isolated singularities, and geometric applications
Alessandro Carlotto, Yangyang Li, Zhihan Wang
We obtain a generic regularity result for stationary integral -varifolds with only strongly isolated singularities inside -dimensional Riemannian manifolds, in absence of any…
math.DG2024
Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
Adrian Chun-Pong Chu, Yangyang Li
In 1989, B. White conjectured that every Riemannian 3-sphere has at least 5 embedded minimal tori. We confirm this conjecture for 3-spheres of positive Ricci curvature. While our p…