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The Hörmander and Maslov Classes and Fomenko's Conjecture
Authors:Tevdoradze  Z.
Affiliation:(1) Faculty of Mechanics and Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi, 380043, Georgia
Abstract:Some functorial properties are studied for the Hörmander classes defined for symplectic bundles. The behavior of the Chern first form on a Lagrangian submanifold in an almost Hermitian manifold is also studied, and Fomenko's conjecture about the behavior of a Maslov class on minimal Lagrangian submanifolds is considered.
Keywords:Symplectic manifold  connection  Maslov class  minimal surface  Hermitian manifold
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