Jona Seidel

collaborators

3 papers

math.GT2025

An Invariant for Triple-Point-Free Immersed Spheres

Jona Seidel

We define an invariant of triple-point-free immersions of $2$ -spheres into Euclidean $3$ -space, taking values in $l^{1} (Z)$ . It remains unchanged under regular homotopies th…

math.DG2025

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow

Elena MÃ¤der-Baumdicker, Jona Seidel

We study the sublevel sets of the Willmore energy on the space of smoothly immersed $2$ -spheres in Euclidean $3$ -space. We show that the subset of immersions with energy at mos…

math.DG2025

The Injectivity Radius of Souls of Alexandrov Spaces

Elena MÃ¤der-Baumdicker, Jona Seidel

A sharp lower bound for the injectivity radius in noncompact nonnegatively curved Riemannian manifolds involving their soul goes back to Å arafutdinov. We generalize this bound to…