On the generalized Geroch conjecture for complete spin manifolds
Differential Geometry
2022-12-08 v2 General Relativity and Quantum Cosmology
Abstract
Let be a closed area enlargeable manifold in the sense of Gromov-Lawson and be a noncompact spin manifold, we show that the connected sum admits no complete metric of positive scalar curvature. When , this provides a positive answer to the generalized Geroch conjecture in the spin setting.
Keywords
Cite
@article{arxiv.2204.09184,
title = {On the generalized Geroch conjecture for complete spin manifolds},
author = {Xiangsheng Wang and Weiping Zhang},
journal= {arXiv preprint arXiv:2204.09184},
year = {2022}
}
Comments
4 pages, title changed, the published version