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Positive scalar curvature on products of noncompact manifolds

Chen, Lizhi et al.
arXiv (All) · Papers
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differential-geometry
We prove that the product of three connected noncompact smooth manifolds without boundary admits a complete metric of uniformly positive scalar curvature. The proof uses the additivity of Morse indices on products and an orientation-free version of Das's open Morse--surgery construction. We also giv
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