Finite isometry groups of 4-manifolds with positive sectional curvature
| dc.creator | Fang, Fuquan | |
| dc.date | 2005-04-25 | |
| dc.date.accessioned | 2026-07-07T05:19:24Z | |
| dc.date.available | 2026-07-07T05:19:24Z | |
| dc.description | Let M be an oriented compact positively curved 4-manifold. Let G be a finite subgroup of the isometry group of $M$. Among others, we prove that there is a universal constant C (cf. Corollary 4.3 for the approximate value of C), such that if the order of G is odd and at least C, then G is either abelian of rank at most 2, or non-abelian and isomorphic to a subgroup of PU(3) with a presentation \{A, B| A^m=B^n=1, BAB^{-1}=A^r, (n(r-1), m)=1, r\ne r^3=1(\text{mod}m) \}. Moreover, M is homeomorphic to CP^2 if G is non-abelian, and homeomorphic to S^4 or CP^2 if G is abelian of rank 2. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0504504 | |
| dc.identifier | http://arxiv.org/abs/math/0504504 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75008 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Finite isometry groups of 4-manifolds with positive sectional curvature | |
| dc.type | text |