Complex analytic curves and maximal surfaces (Q748931)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Complex analytic curves and maximal surfaces |
scientific article; zbMATH DE number 4171882
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex analytic curves and maximal surfaces |
scientific article; zbMATH DE number 4171882 |
Statements
Complex analytic curves and maximal surfaces (English)
0 references
1989
0 references
Maximal immersions of a surface \(M^ 2\) into the n-dimensional Lorentz space which are isometric to a fixed holomorphic mapping of \(M^ 2\) into the complex Lorentz space are determined. The main tool is an adaptation of Calabi's rigidity theorem. Such an adaptation is necessary because of the existence of degenerate hyperplanes in complex Lorentz space.
0 references
Maximal immersions
0 references
Calabi's rigidity theorem
0 references
complex Lorentz space
0 references
