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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
23/2000

Prescribing the Maslov form of Lagrangian graphs

Knut Smoczyk

Abstract

We formulate and apply a modified Lagrangian mean curvature flow to prescribe the Maslov form of a Lagrangian graph in flat cotangent bundles. We prove longtime existence results based on a new energy estimate. In addition we derive miscellaneous results both for the Lagrangian mean curvature flow and the modified flow. Examples and counterexamples are given.

Received:
Mar 14, 2000
Published:
Mar 14, 2000

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Preprint
2000 Repository Open Access
Knut Smoczyk

Prescribing the Maslov form of Lagrangian graphs