5 papers · 1 filter
Precompactness for homogeneous Einstein metrics on torus bundles
Anusha M. Krishnan, Vincent P. N. Wolff, Masoumeh Zarei
We prove a precompactness result for homogeneous Einstein metrics on the set of homogeneous torus bundles over a common base. This set can contain infinite families of compact simp…
On the long time behavior of ancient homogeneous Ricci flows
Anusha M. Krishnan, Francesco Pediconi
We prove a precompactness theorem for invariant metrics on compact homogeneous spaces without injectivity radius bounds, assuming uniform bounds on the diameter and on all derivati…
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…
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…
Prescribing Ricci curvature on a Product of Spheres
Timothy Buttsworth, Anusha M. Krishnan
We prove an existence result for the prescribed Ricci curvature equation for certain doubly warped product metrics on , where $d_i \geq 2…