Samuel Lockman

collaborators

3 papers

math.DG2026

Rigidity for spin fill-ins with scalar curvature bounded from below

Bernd Ammann, Samuel Lockman

We establish the rigidity statement in the equality case of the hyperspherical-radius inequality of Brendle, Tsiamis, and Wang for compact spin fill-ins with scalar curvature bound…

math.DG2026

Scalar curvature rigidity for products of convex hypersurfaces

Samuel Lockman, Rudolf Zeidler

Let $N = N_{1} \times \dots \times N_{k}$ , where each $N_{i} \subset R^{n_{i} + 1}$ is a closed strictly convex hypersurface. Let $M$ be a Riemannian spin manifold of dimensi…

math.DG2026

A non-trivial index difference on surfaces of genus at least $3$

Samuel Lockman

For every closed surface of genus at least $3$ , equipped with any bounding spin structure, we show that the index difference, viewed as a map from the fundamental group of the spac…

Rigidity for spin fill-ins with scalar curvature bounded from below

Scalar curvature rigidity for products of convex hypersurfaces

A non-trivial index difference on surfaces of genus at least 3

A non-trivial index difference on surfaces of genus at least $3$