Nonexistence of DEC spin fill-ins
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Publication:6395735
DOI10.5802/CRMATH.366zbMATH Open1510.53063arXiv2204.02146MaRDI QIDQ6395735
Publication date: 5 April 2022
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.
Spin and Spin({}^c) geometry (53C27) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)
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