Geodesic
Singular Lagrangian manifolds and their Lagrangian mappings
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 33 (1988), pp. 55-112.

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The paper examines the singularity theory of Lagrangian manifolds and its connection with variational calculus, classification of Coxeter groups, and symplectic topology. We consider the application of the theory to the problem of going past an obstacle, to partial differential equations, and to the analysis of singularities of ray systems. 
@article{INTD_1988_33_a2,
     author = {A. B. Givental'},
     title = {Singular {Lagrangian} manifolds and their {Lagrangian} mappings},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {55--112},
     publisher = {mathdoc},
     volume = {33},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTD_1988_33_a2/}
}
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A. B. Givental'. Singular Lagrangian manifolds and their Lagrangian mappings. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Tome 33 (1988), pp. 55-112. http://geodesic.mathdoc.fr/item/INTD_1988_33_a2/