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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.

Received:
Sep 2, 2002
Published:
Sep 2, 2002
MSC Codes:
58E15
Keywords:
minimal legendrian submanifolds, minimizing deformation

Related publications

inJournal
2004 Repository Open Access
Hông Vân Lê

A minimizing deformation of Legendrian submanifolds in the standard sphere

In: Differential geometry and its applications, 21 (2004) 3, pp. 297-316