3 papers
math.DG2026
Scalar-rigid submersions are Riemannian products
Oskar Riedler, Thomas Tony
Scalar-rigid maps are Riemannian submersions by works of Llarull, Goette--Semmelmann, and the second named author. In this article we show that they are essentially Riemannian prod…
math.DG2025
Ricci-Flat Manifolds, Parallel Spinors and the Rosenberg Index
Thomas Tony
Every closed connected Riemannian spin manifold of non-zero -genus or non-zero Hitchin invariant with non-negative scalar curvature admits a parallel spinor, in particular…
math.DG2024
Scalar curvature rigidity and the higher mapping degree
Thomas Tony
A closed connected oriented Riemannian manifold with non-vanishing Euler characteristic, non-negative curvature operator and is area-rigid in t…