Frederick Wilhelm

activity

19952020

most citedAn exotic sphere with positive sectional curvature

62 citations · 133 across the 19 of their papers we have counts for

collaborators

Showing 2016 · math.DGShow all

4 papers · 2 filters

math.DG2016

Crosscap Stability

Curtis Pro, Michael Sill, Frederick Wilhelm

We provide an alternative proof that Crosscaps are diffeomorphically stable.

math.DG2016★ 4 cited

Restrictions on Submanifolds via Focal Radius Bounds

Luis Guijarro, Frederick Wilhelm

We give an optimal estimate for the norm of any submanifold's second fundamental form in terms of its focal radius and the lower sectional curvature bound of the ambient manifold.…

math.DG2016

Diffeomorphism Stability and Codimension Three

Curtis Pro, Frederick Wilhelm

Given $k \in R,$ $v,$ $D > 0,$ and $n \in N,$ let ${M_{α}}_{α = 1}^{\infty}$ be a Gromov-Hausdorff convergent sequence of Riemannian $n$ --manifolds with…

math.DG2016★ 20 cited

Focal Radius, Rigidity, and Lower Curvature Bounds

Luis Guijarro, Frederick Wilhelm

We show that the focal radius of any submanifold $N$ of positive dimension in a manifold $M$ with sectional curvature greater than or equal to $1$ does not exceed $\frac{π}{2} .$ In…