The Hormander and Maslov Classes and Fomenko's Conjecture

Mathematics – Symplectic Geometry

Scientific paper

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13 pages

Scientific paper

Some functorial properties are studied for the H\"{o}rmander classes defined
for symplectic bundles. The behaviour of the Chern first form on a Lagrangian
submanifold in an almost Hermitian manifold is also studied, and Fomenko's
conjecture about the behaviour of a Maslov class on minimal Lagrangian
submanifolds is considered.

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