8 citations · 9 across the 6 of their papers we have counts for
9 papers
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…
Ricci flow does not preserve positive sectional curvature in dimension four
Renato G. Bettiol, Anusha M. Krishnan
We find examples of cohomogeneity one metrics on and with positive sectional curvature that lose this property when evolved via Ricci flow. These metrics are…
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…
Diagonalizing the Ricci Tensor
Anusha M. Krishnan
We show that a basis of a semisimple Lie algebra of compact type, for which any diagonal left-invariant metric has a diagonal Ricci tensor, is characterized by the Lie algebraic co…
Making matrices better: Geometry and topology of polar and singular value decomposition
Dennis DeTurck, Amora Elsaify, Herman Gluck +4
Our goal here is to see the space of matrices of a given size from a geometric and topological perspective, with emphasis on the families of various ranks and how they fit together…
Four-dimensional cohomogeneity one Ricci flow and nonnegative sectional curvature
Renato G. Bettiol, Anusha M. Krishnan
We exhibit the first examples of closed 4-manifolds with nonnegative sectional curvature that lose this property when evolved via Ricci flow.