On the generalized Geroch conjecture for complete spin manifolds

Autor:	Wang, Xiangsheng, Zhang, Weiping
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry General Relativity and Quantum Cosmology 58J20 53C21
Zdroj:	Chin. Ann. Math. Ser. B, 43(6), 2022, 1143-1146
Druh dokumentu:	Working Paper
DOI:	10.1007/s11401-022-0381-y
Popis:	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. Comment: 4 pages, title changed, the published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.09184 Zobrazit plný text záznamu Plný text ve formátu PDF