Closed spin manifolds with an exact-lift two-form obey inf scal ≤ -4n/(n-1)λ0, and equality forces Einstein, hyperbolic, or flat geometry.
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Geometric Rigidity via Almost-Harmonic Twisted Spinors
Closed spin manifolds with an exact-lift two-form obey inf scal ≤ -4n/(n-1)λ0, and equality forces Einstein, hyperbolic, or flat geometry.