The Degree of Symmetry of Certain Compact Smooth Manifolds II
| dc.creator | Xu, Bin | |
| dc.date | 2005-05-30 | |
| dc.date | 2005-11-29 | |
| dc.date.accessioned | 2026-07-07T13:12:49Z | |
| dc.date.available | 2026-07-07T13:12:49Z | |
| dc.description | In this paper, we give the sharp estimates for the degree of symmetry and the semi-simple degree of symmetry of certain four dimensional fiber bundles by virtue of the rigidity theorem of harmonic maps due to Schoen and Yau. As a corollary of this estimate, we compute the degree of symmetry and the semi-simple degree of symmetry of ${\Bbb C}P^2\times V$, where $V$ is closed smooth manifold admitting a real analytic Riemannian metric of non-positive curvature. In addition, by the Albanese map, we obtain the sharp estimate of the degree of symmetry of a compact smooth manifold with some restrictions on its one dimensional cohomology. | |
| dc.description | 11 pages, some misprints revised and some minor modifications to Remark 1.2 and Proof of Theorems 1.1 and 1.3 to make the paper more readable | |
| dc.identifier | https://arxiv.org/abs/math/0505646 | |
| dc.identifier | http://arxiv.org/abs/math/0505646 | |
| dc.identifier | Chin. Ann. Math. 28B(2), 2007, 195-204 | |
| dc.identifier | doi:10.1007/s11401-005-0578-x | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229693 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57S15 (Primary), 53C44 (Secondary) | |
| dc.title | The Degree of Symmetry of Certain Compact Smooth Manifolds II | |
| dc.type | text |