Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.
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.