Maps into products of strictly convex hypersurfaces and nonnegatively curved spin manifolds with nonzero Euler characteristic that are area-nonincreasing on factors and do not decrease scalar curvature must be Riemannian coverings under strict curvature.
Symmetry, Integrability and Geometry: Methods and Applications20(2024), paper 035, 26, DOI 10.3842/SIGMA.2024.035.Zbl 1570.53032
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Scalar Curvature Rigidity for Products of convex Hypersurfaces and even dimensional Manifolds
Maps into products of strictly convex hypersurfaces and nonnegatively curved spin manifolds with nonzero Euler characteristic that are area-nonincreasing on factors and do not decrease scalar curvature must be Riemannian coverings under strict curvature.