5 papers
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…
Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions
Elahe Khalili Samani, Lawrence Mouillé
We explore existence of invariant metrics with positive intermediate Ricci curvature on closed, low-dimensional cohomogeneity one manifolds. For a certain cohomogeneity one $\maths…
On Hopf's conjecture and positive second intermediate Ricci curvature
Lee Kennard, Lawrence Mouillé, Jan Nienhaus
Hopf conjectured that even-dimensional closed Riemannian manifolds with positive sectional curvature have positive Euler characteristic. The conclusion of the conjecture is known t…
On the relative isoperimetric problem for the cube
Gregory R. Chambers, Lawrence Mouillé
In this article, we solve the relative isoperimetric problem in for orthogonal polyhedra. Up to isometries of the cube or sets of measure , the minimizers are of the f…
A note on the affine-invariant plank problem
Gregory R. Chambers, Lawrence Mouillé
Suppose that is a bounded, convex subset of , and that are planks which cover in respective directions and with widths $w_…