On the Generalized Geroch Conjecture for Complete Spin Manifolds

被引：0
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作者：
Xiangsheng WANG [1 ]
Weiping ZHANG [2 ]
机构：
[1] School of Mathematics, Shandong University
[2] Chern Institute of Mathematics & LPMC, Nankai
来源：
ChineseAnnalsofMathematics,SeriesB | 2022年 / 06期
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摘要：
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 = T~n, this provides a positive answer to the generalized Geroch conjecture in the spin setting.
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页码：1143 / 1146
页数：4
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