Prescribing the Maslov form of Lagrangian graphs

Knut Smoczyk

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Submission date: 14. Mar. 2000
Pages: 31
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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.