Geodesic
Asymptotic Lagrangians of a manifold and the complex WKB method
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 31 (1987), pp. 93-192

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Lagrangian analysis on dissipative-asymptotic manifolds is considered and applied to the asymptotic theory of partial differential equations. The special case of the theory of asymptotic manifolds with complex germ is presented. 
@article{INTD_1987_31_a1,
     author = {G. A. Voropaeva and V. L. Dubnov and V. P. Maslov},
     title = {Asymptotic {Lagrangians} of a manifold and the complex {WKB} method},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {93--192},
     publisher = {mathdoc},
     volume = {31},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1987_31_a1/}
}
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G. A. Voropaeva; V. L. Dubnov; V. P. Maslov. Asymptotic Lagrangians of a manifold and the complex WKB method. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 31 (1987), pp. 93-192. http://geodesic.mathdoc.fr/item/INTD_1987_31_a1/