Complex manifolds with split tangent bundle
| dc.creator | Beauville, Arnaud | |
| dc.date | 1998-09-07 | |
| dc.date | 1998-10-09 | |
| dc.date.accessioned | 2026-07-07T05:25:55Z | |
| dc.date.available | 2026-07-07T05:25:55Z | |
| dc.description | Let X be a compact Kaehler manifold. We expect that any direct sum decomposition of the tangent bundle T(X) comes from a splitting of the universal covering space of X as a product of manifolds, in such a way that the given decomposition of T(X) lifts to the canonical decomposition of the tangent bundle of a product. We prove this assertion when X is a Kaehler-Einstein manifold or a Kaehler surface. Simple examples show that the Kaehler hypothesis is necessary. | |
| dc.description | 9 pages, Plain TeX. We give a simpler proof of Theorem A following a paper of Yau | |
| dc.identifier | https://arxiv.org/abs/math/9809033 | |
| dc.identifier | http://arxiv.org/abs/math/9809033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77364 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Complex manifolds with split tangent bundle | |
| dc.type | text |