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math.DG2025
Ricci curvature and minimal hypersurfaces with large Betti numbers
Davi Maximo, Philipp Reiser, Daniele Semola
In any dimension we construct a sequence of closed -dimensional Riemannian manifolds with positive Ricci curvature admitting embedded two-sided minimal hypersurfa…
math.DG2025
Length of a closed geodesic in 3-manifolds of positive scalar curvature
Yevgeny Liokumovich, Davi Maximo, Regina Rotman
Let be a closed -dimensional Riemannian manifold with positive scalar curvature, . We show that contains a non-trivial closed geodesic of length less than $2…