16 citations · 34 across the 13 of their papers we have counts for
13 papers
Uryson Width, Asymptotic Dimension and Ricci Curvature
Jon Wolfson
A Riemannian n-manifold M has k-dimensional Uryson width bounded by a constant c >0 if there exists a continuous map f from M to an k-dimensional polyhedral space P, such that the…
The Fundamental Group of Closed Manifolds with Two-positive Ricci Curvature
Jon Wolfson
Let M be a Riemannian n-manifold with n greater than or equal to 3. For k between 1 and n, we say M has k-positive Ricci curvature if at every point of M the sum of any k eigenvalu…
Lagrangian Flows, Maslov Index Zero and Special Lagrangians
Andrew A. Cooper, Jon Wolfson
We introduce a notion of vanishing Maslov index for lagrangian varifolds and lagrangian integral cycles in a Calabi-Yau manifold. We construct mass-decreasing flows of lagrangian v…
Eigenvalue gap theorems for a class of non symmetric elliptic operators on convex domains
Jon Wolfson
Adapting the method of Andrews-Clutterbuck we prove an eigenvalue gap theorem for a class of non symmetric second order linear elliptic operators on a convex domain in euclidean sp…
Three-manifolds with constant vector curvature
Ben Schmidt, Jon Wolfson
A connected Riemannian manifold M has constant vector curvature ε, denoted by cvc(ε), if every tangent vector v in TM lies in a 2-plane with sectional curvature ε. By scaling the m…
Fill Radius and the Fundamental Group
Mohan Ramachandran, Jon Wolfson
In this note we relate the geometric notion of fill radius with the fundamental group of the manifold. We prove: ''Suppose that a closed Riemannian manifold M satisfies the propert…