The Deformation of Lagrangian Minimal Surfaces in Kahler-Einstein Surfaces
| dc.creator | Lee, Yng-Ing | |
| dc.date | 1998-12-14 | |
| dc.date.accessioned | 2026-07-07T05:27:14Z | |
| dc.date.available | 2026-07-07T05:27:14Z | |
| dc.description | Let $(N,g_{0})$ be a Kahler-Einstein surface with the first Chern class negative and assume that there exists a branched Lagrangian minimal surfaces with respect to the metric $g_{0}$. We show that when the Kahler-Einstein metric is changed in the same component (i.e. the complex structure is changed), the Lagrangian minimal surface can be deformed accordingly. To get the result, we first obtain a theorem on the deformation of the branched minimal surfaces in a complete Riemannian $n$-manifold and also generalize a result of J. Chen and G. Tian on the limit of adjunction numbers. | |
| dc.description | LaTeX, 29 pages, to appear in JDG | |
| dc.identifier | https://arxiv.org/abs/math/9812081 | |
| dc.identifier | http://arxiv.org/abs/math/9812081 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77845 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.title | The Deformation of Lagrangian Minimal Surfaces in Kahler-Einstein Surfaces | |
| dc.type | text |