14 citations · 40 across the 14 of their papers we have counts for
4 papers · 1 filter
Quantitative nullhomotopy and rational homotopy type
Gregory R. Chambers, Fedor Manin, Shmuel Weinberger
In \cite{GrOrang}, Gromov asks the following question: given a nullhomotopic map of Lipschitz constant , how does the Lipschitz constant of an optimal nullhomoto…
Quantitative null-cobordism
Gregory R. Chambers, Dominic Dotterrer, Fedor Manin +1
For a given null-cobordant Riemannian -manifold, how does the minimal geometric complexity of a null-cobordism depend on the geometric complexity of the manifold? In [Gro99], Gr…
Existence of minimal hypersurfaces in complete manifolds of finite volume
Gregory R. Chambers, Yevgeny Liokumovich
We prove that every complete non-compact manifold of finite volume contains a (possibly non-compact) minimal hypersurface of finite volume. The main tool is the following result of…
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_…