Two-dimensional Lagrangian singularities and bifurcations of gradient lines II
| dc.creator | Marelli, G. | |
| dc.date | 2007-03-30 | |
| dc.date.accessioned | 2026-07-07T07:55:06Z | |
| dc.date.available | 2026-07-07T07:55:06Z | |
| dc.description | Motivated by mirror symmetry, we consider the Lagrangian fibration $\R^4\to\R^2$ and Lagrangian maps $f:L\hookrightarrow \R^4\to \R^2$, exhibiting an unstable singularity, and study how the bifurcation locus of gradient lines, the integral curves of $\nabla f_x$, for $x\in B$, where $f_x(y)=f(y)-x\cdot y$, changes when $f$ is slightly perturbed. We consider the cases when $f$ is the germ of a fold, of a cusp and, particularly, of an elliptic umbilic. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703917 | |
| dc.identifier | http://arxiv.org/abs/math/0703917 | |
| dc.identifier | J. Geo. Phys. 56/9 (2006), 1875-1892 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126856 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37G25, 53D12, 70K60 | |
| dc.title | Two-dimensional Lagrangian singularities and bifurcations of gradient lines II | |
| dc.type | text |