| Full text | |
| Author(s): |
Anciaux, Henri
;
Samuays, Maikel Antonio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN; v. 23, n. 3, p. 421-437, JUL-SEP 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 12/02724-3 - Minimal and self-similar Lagrangian submanifolds in complex and para-complex pseudo-Euclidean spaces |
| Grantee: | Maikel Antonio Samuays |
| Support Opportunities: | Scholarships in Brazil - Doctorate |