典型文献
On the Generalized Geroch Conjecture for Complete Spin Manifolds
文献摘要：
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=Tn,this provides a positive answer to the generalized Geroch conjecture in the spin setting.
文献关键词：
中图分类号：
作者姓名：
Xiangsheng WANG;Weiping ZHANG
作者机构：
School of Mathematics,Shandong University,Jinan 250100,China;Chern Institute of Mathematics&LPMC,Nankai University,Tianjin 300071,China
文献出处：
引用格式：
[1]Xiangsheng WANG;Weiping ZHANG-.On the Generalized Geroch Conjecture for Complete Spin Manifolds)[J].数学年刊B辑（英文版）,2022(06):1143-1146
A类：
Geroch,Conjecture,enlargeable,Gromov,noncompact,M#W
B类：
On,Generalized,Complete,Spin,Manifolds,Let,be,closed,area,manifold,sense,Lawson,spin,authors,show,that,connected,sum,admits,complete,metric,positive,scalar,curvature,When,Tn,this,provides,answer,generalized,conjecture,setting
AB值：
0.589965
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