On the Generalized Geroch Conjecture for Complete Spin Manifolds* |
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| Authors: | Xiangsheng WANG Weiping ZHANG |
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| Institution: | School of Mathematics, Shandong University, Jinan 250100, China.; Chern Institute of Mathematics & LPMC, Nankai University, Tianjin 300071, China. |
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| Abstract: | Let W be a closed area enlargeable manifold in the sense of Gromov-Lawson and M be a noncompact spin manifold, the authors show that the connected sum M#W admits no complete metric of positive scalar curvature. When W = Tn, this provides a positive answer to the generalized Geroch conjecture in the spin setting. |
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| Keywords: | Positive scalar curvature Connected sum Spin manifolds |
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