Non-linear partial differential equations in conformal geometry
| dc.creator | Chang, Sun-Yung Alice | |
| dc.creator | Yang, Paul C. | |
| dc.date | 2002-12-01 | |
| dc.date.accessioned | 2026-07-07T04:54:09Z | |
| dc.date.available | 2026-07-07T04:54:09Z | |
| dc.description | In the study of conformal geometry, the method of elliptic partial differential equations is playing an increasingly significant role. Since the solution of the Yamabe problem, a family of conformally covariant operators (for definition, see section 2) generalizing the conformal Laplacian, and their associated conformal invariants have been introduced. The conformally covariant powers of the Laplacian form a family $P_{2k}$ with $k \in \mathbb N$ and $k \leq \frac{n}{2}$ if the dimension $n$ is even. Each $P_{2k}$ has leading order term $(- Δ)^k$ and is equal to $ (- Δ) ^k$ if the metric is flat. | |
| dc.identifier | https://arxiv.org/abs/math/0212394 | |
| dc.identifier | http://arxiv.org/abs/math/0212394 | |
| dc.identifier | Proceedings of the ICM, Beijing 2002, vol. 1, 189--207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66135 | |
| dc.subject | Differential Geometry | |
| dc.title | Non-linear partial differential equations in conformal geometry | |
| dc.type | text |