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The Deformation of Lagrangian Minimal Surfaces in Kahler-Einstein Surfaces
- Source :
- J. Differential Geom. 50, no. 2 (1998), 299-330, Scopus-Elsevier
- Publication Year :
- 1998
-
Abstract
- 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.<br />LaTeX, 29 pages, to appear in JDG
- Subjects :
- Mathematics - Differential Geometry
Pure mathematics
Structure (category theory)
53C42
53C25
symbols.namesake
FOS: Mathematics
Limit (mathematics)
Einstein
Mathematics::Symplectic Geometry
Mathematics
Algebra and Number Theory
Minimal surface
Chern class
Mathematical analysis
Surface (topology)
53C55
53D12
Differential Geometry (math.DG)
Mathematics - Symplectic Geometry
Metric (mathematics)
symbols
Symplectic Geometry (math.SG)
Geometry and Topology
Schwarz minimal surface
Mathematics::Differential Geometry
Analysis
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- J. Differential Geom. 50, no. 2 (1998), 299-330, Scopus-Elsevier
- Accession number :
- edsair.doi.dedup.....e27cf4f6c5ef7c784f6d16d87648f5f5