On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\) (Q1101707)
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: On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\) |
scientific article; zbMATH DE number 4046601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\) |
scientific article; zbMATH DE number 4046601 |
Statements
On conformal minimal immersions of \(S^ 2\) into \({\mathbb{C}}P^ n\) (English)
0 references
1988
0 references
The authors apply Wolfson's technique of harmonic sequences, which for the present case gives the Frenet frame of a holomorphic (directrix) curve. Their results, generalizing several earlier special cases, include a characterization of the Veronese sequence, a rigidity result for (isometric) conformal minimal immersions with the same Kähler angle, and curvature pinching results.
0 references
Veronese surface
0 references
directrix curve
0 references
harmonic sequences
0 references
conformal minimal immersions
0 references
Kähler angle
0 references
curvature pinching
0 references
