We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
78/2002
Minimizing deformation of Legendrian submanifolds in the standard sphere
Hông Vân Lê
Abstract
In this note we study the moduli space of minimal Legendrian submanifolds in the standard sphere. We suggest to find new examples by solving a certain equation for a function on a nearby glued Legendrian submanifolds, or by deforming glued Legendrian submanifolds along a volume decreasing flow. A new neccesary condition for a Lagrangian embedding into $CP ^n$ is given.
