Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials

Smoczyk, Knut; Wang, Mu-Tao

J. Differential Geom., Tome 60 (2002) no. 1, p. 243-257 / Harvested from Project Euclid

Résumé

This article studies the mean curvature flow of Lagrangian submanifolds. In particular, we prove the following global existence and convergence theorem: if the potential function of a Lagrangian graph in T²ⁿ is convex, then the flow exists for all time and converges smoothly to a flat Lagrangian submanifold. We also discuss various conditions on the potential function that guarantee global existence and convergence.

Publié le : 2002-10-14
Classification:

@article{1090950193,
     author = {Smoczyk, Knut and Wang, Mu-Tao},
     title = {Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials},
     journal = {J. Differential Geom.},
     volume = {60},
     number = {1},
     year = {2002},
     pages = { 243-257},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090950193}
}

Smoczyk, Knut; Wang, Mu-Tao. Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials. J. Differential Geom., Tome 60 (2002) no. 1, pp.  243-257. http://gdmltest.u-ga.fr/item/1090950193/