The Hörmander and Maslov Classes and Fomenko's Conjecture |
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Authors: | Tevdoradze Z. |
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Affiliation: | (1) Faculty of Mechanics and Mathematics, I. Javakhishvili Tbilisi State University, 2, University St., Tbilisi, 380043, Georgia |
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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. |
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Keywords: | Symplectic manifold connection Maslov class minimal surface Hermitian manifold |
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