2 citations · 6 across the 8 of their papers we have counts for
8 papers
Homogeneous spaces with two equivalent isotropy summands develop positive Ricci curvature under Ricci flow
Eric Cochran, Arseny Mingajev, Lawrence Mouillé +1
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…
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…
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…
Positive intermediate Ricci curvature with maximal symmetry rank
Lee Kennard, Lawrence Mouillé
Generalizing the foundational work of Grove and Searle, the second author proved upper bounds on the ranks of isometry groups of closed Riemannian manifolds with positive intermedi…
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…
Infinite families of manifolds of positive -intermediate Ricci curvature with small
Miguel Domínguez-Vázquez, David González-Álvaro, Lawrence Mouillé
Positive -intermediate Ricci curvature on a Riemannian -manifold, to be denoted by , is a condition that interpolates between positive sectional…
Positive intermediate Ricci curvature on products of homogeneous spaces
Lawrence Mouillé
We establish metrics of positive -intermediate Ricci curvature, i.e. , on products of positively curved homogeneous spaces. Using these examples, w…
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_…