On the Kaehler angles of submanifolds
| dc.creator | Salavessa, Isabel M. C. | |
| dc.date | 2002-04-30 | |
| dc.date.accessioned | 2026-07-07T04:48:09Z | |
| dc.date.available | 2026-07-07T04:48:09Z | |
| dc.description | We prove that under certain conditions on the mean curvature and on the Kaehler angles, a compact submanifold M of real dimension 2n, immersed into a Kaehler-Einstein manifold N of complex dimension 2n, must be either a complex or a Lagrangian submanifold of N, or have constant Kaehler angle, depending on n=1, n=2, or n \geq 3, and the sign of the scalar curvature of N. These results generalize to non-minimal submanifolds some known results for minimal submanifolds. Our main tool is a Bochner-type technique involving a formula on the Laplacian of a symmetric function on the Kaehler angles and the Weitzenboeck formula for the Kaehler form of N restricted to M. | |
| dc.description | 18 pages, plain LaTeX, to appear in Portugaliae Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/0204349 | |
| dc.identifier | http://arxiv.org/abs/math/0204349 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63938 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C42; 53C21; 53C55; 53C40 | |
| dc.title | On the Kaehler angles of submanifolds | |
| dc.type | text |