Holomorphic two-spheres in complex Grassmann manifold \(G(2, 4)\) (Q949460)
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: Holomorphic two-spheres in complex Grassmann manifold \(G(2, 4)\) |
scientific article; zbMATH DE number 5354750
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Holomorphic two-spheres in complex Grassmann manifold \(G(2, 4)\) |
scientific article; zbMATH DE number 5354750 |
Statements
Holomorphic two-spheres in complex Grassmann manifold \(G(2, 4)\) (English)
0 references
21 October 2008
0 references
By using the moving frames method, the authors study degenerate and non-degenerate two-spheres in the complex Grassmann manifold \(G(2,4)\). For both cases pinching theorems on the Gaussian curvature \(K\) of a two-sphere in \(G(2,4)\) are obtained. Also, a class of non-degenerate totally geodesic immersions of a two-sphere with \(K = 2\) into \(G(2,4)\) is found.
0 references
complex Grassmann manifold
0 references
two sphere
0 references
Gaussian curvature
0 references
degenerate and non-degenerate submanifold
0 references
0 references
0.9791695
0 references
0.96210897
0 references
0.9364436
0 references
0.93002623
0 references
0.91166264
0 references
0.90569496
0 references
0.90160775
0 references
