On the generalized Geroch conjecture for complete spin manifolds

Abstract

Let $W$ be a closed area enlargeable manifold in the sense of Gromov-Lawson and $M$ be a noncompact spin manifold, we show that the connected sum $M\#W$ admits no complete metric of positive scalar curvature. When $W=T^n$, this provides a positive answer to the generalized Geroch conjecture in the spin setting.

4 pages, title changed, the published version

Cited by in corpus (1)

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