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math.DG2023
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti
Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarante…
math.DG2023
Positively curved -manifolds with -symmetry
Anusha M. Krishnan, Michael Wiemeler
We show that closed, simply connected, positively curved 10-manifolds with effective, isometric actions of -dimensional tori are homotopy spheres or homotopy complex projective…