naa a22 4500 510810748 CHVBK 20180411083441.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s12220-011-9284-y doi (NATIONALLICENCE)springer-10.1007/s12220-011-9284-y Huang Hong School of Mathematical Sciences, Key Laboratory of Mathematics and Complex Systems, Beijing Normal University, 100875, Beijing, P.R. China aut Ricci Flow on Open 4-Manifolds with Positive Isotropic Curvature [Elektronische Daten] [Hong Huang] In this note we prove the following result: Let X be a complete, connected 4-manifold with uniformly positive isotropic curvature, with bounded geometry, and with no essential incompressible space form. Then X is diffeomorphic to $\mathbb{S}^{4}$ , or $\mathbb{RP}^{4}$ , or $\mathbb{S}^{3}\times\mathbb {S}^{1}$ , or $\mathbb{S}^{3}\widetilde{\times} \mathbb{S}^{1}$ , or a possibly infinite connected sum of them. This extends work of Hamilton and Chen-Zhu to the noncompact case. The proof uses Ricci flow with surgery on complete 4-manifolds, and is inspired by recent work of Bessières, Besson, and Maillot. Mathematica Josephina, Inc., 2011 Uniformly positive isotropic curvature nationallicence Bounded geometry nationallicence Ricci flow with surgery on complete manifolds nationallicence Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/3(2013-07-01), 1213-1235 1050-6926 23:3<1213 2013 23 12220 https://doi.org/10.1007/s12220-011-9284-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-011-9284-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Huang Hong School of Mathematical Sciences, Key Laboratory of Mathematics and Complex Systems, Beijing Normal University, 100875, Beijing, P.R. China aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/3(2013-07-01), 1213-1235 1050-6926 23:3<1213 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer