Singular Lagrangian manifolds and their Lagrangian mappings
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, 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},
year = {1988},
volume = {33},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1988_33_a2/}
}
TY - JOUR AU - A. B. Givental' TI - Singular Lagrangian manifolds and their Lagrangian mappings JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya PY - 1988 SP - 55 EP - 112 VL - 33 UR - http://geodesic.mathdoc.fr/item/INTD_1988_33_a2/ LA - ru ID - INTD_1988_33_a2 ER -
A. B. Givental'. Singular Lagrangian manifolds and their Lagrangian mappings. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, 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/