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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