https://neckpinch.com/authors/anusha-m-krishnan/New arXiv papers by Anusha M. Krishnan, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2602.15661arxiv:2602.15661Tue, 17 Feb 2026 00:00:00 GMTAnusha 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 derivatives of the curvature tensor. As a consequence, we prove that every ancient homogeneous Ricci flow on a compact manifold admits a blow-down sequence that converges to a gradient shrinking Ricci soliton.Ricci flowRicci solitonsAncient solutionsLimit spaces & RCDHomogeneous spacesLong-time existence & convergence https://arxiv.org/abs/2312.01469arxiv:2312.01469Sun, 03 Dec 2023 00:00:00 GMTAnusha 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 guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, i.e., they are invariant under the right action of their collapsing torus. As a byproduct of these additional torus symmetries, we prove that these solutions converge, backward in time, in the Gromov-Hausdorff topology to an Einstein metric on the base of a torus bundle.Ricci flowAncient solutionsEinstein metrics(Non)collapsingLimit spaces & RCDHomogeneous spaces https://arxiv.org/abs/2112.13291arxiv:2112.13291Sat, 25 Dec 2021 00:00:00 GMTRenato G. Bettiol, Anusha M. Krishnan — We find examples of cohomogeneity one metrics on S⁴ and ℂ P² with positive sectional curvature that lose this property when evolved via Ricci flow. These metrics are arbitrarily small perturbations of Grove–Ziller metrics with flat planes that become instantly negatively curved under Ricci flow.Ricci flow4-manifoldsSphere theoremsHomogeneous spaces