| Texto completo | |
| Autor(es): |
Anciaux, Henri
;
Samuays, Maikel Antonio
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN; v. 23, n. 3, p. 421-437, JUL-SEP 2016. |
| Citações Web of Science: | 0 |
| Resumo | |
We address the study of some curvature equations for distinguished sub manifolds in para-Kahler geometry. We first observe that a para-complex submanifold of a para-Kahler manifold is minimal. Next we describe the extrinsic geometry of Lagrangian submanifolds in the para-complex Euclidean space D-n and discuss a number of examples, such as graphs and normal bundles. We also characterize those Lagrangian surfaces of D-2 which are minimal and have indefinite metric. Finally we describe those Lagrangian self-similar solutions of the Mean Curvature Flow (with respect to the neutral metric of D-n) which are SO (n)-equivariant. (AU) | |
| Processo FAPESP: | 12/02724-3 - Subvariedades lagrangeanas mínimas e auto-similares nos espaços pseudo-euclideanos complexos e para-complexos |
| Beneficiário: | Maikel Antonio Samuays |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |