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math.DG2026
Homogeneous spaces with two equivalent isotropy summands develop positive Ricci curvature under Ricci flow
Eric Cochran, Arseny Mingajev, Lawrence Mouillé +2
We study normalized Ricci flow on simply connected homogeneous spaces G/H for which the isotropy representation splits into exactly two equivalent irreducible subrepresentations. W…
math.DG2025
On Compact Quasi-Einstein Metrics of Constant Scalar Curvature
Eric Cochran
We show that all compact quasi-Einstein metrics of constant scalar curvature in dimension three are locally homogeneous. We accomplish this by using the equivalence of constant sca…
math.DG2024
Killing Fields on Compact m-Quasi-Einstein Manifolds
Eric Cochran
We show that given a compact, connected -quasi Einstein manifold without boundary, the potential vector field is Killing if and only if has constant scala…