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Nonexistence of DEC spin fill-ins

Published 5 Apr 2022 in math.DG, math-ph, and math.MP | (2204.02146v1)

Abstract: In this note, we show that a closed spin Riemannian manifold does not admit a spin fill-in satisfying the dominant energy condition (DEC) if a certain generalized mean curvature function is point-wise large.

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