Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail-Reference-Cited by-同舟云学术

Lagrangian manifolds with singularities, asymptotic rays, and the open swallowtail

Published:1982 Issue:4 Volume:15 Page:235-246
ISSN:0016-2663
Container-title:Functional Analysis and Its Applications
language:en
Short-container-title:Funct Anal Its Appl

Author:

Arnol'd V. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF01106152.pdf

Reference12 articles.

1. R. B. Melrose, "Equivalence of glancing hypersurfaces," Invent. Math.,37, No. 3, 165?192 (1976).

2. H. Whitney, "On singularities of mappings of Euclidean spaces. I," Ann. Math.,62, 374?410 (1955).

3. B. Morin, "Formes canoniques des singularités d'une application differentiable," C. R. Acad. Sci., Paris,260, 5662?5665, 6503?6506 (1965).

4. V. I. Arnol'd, "Indices of singular points of 1-forms on a manifold with boundary, displacement of invariants of groups, generated by reflections, and singular projections of smooth surfaces," Usp. Mat. Nauk,34, No. 2, 3?38 (1979).

5. V. I. Arnold, "Wave fronts evolution and equivariant Morse lemma," Commun. Pure Appl. Math.,28, No. 6, 557?582 (1976).

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Sections of Hamiltonian Systems;Regular and Chaotic Dynamics;2021-07

2. Singularities of tangent surfaces to directed curves;Topology and its Applications;2018-02

3. Singular Lagrangian manifolds and semiclassical analysis;Duke Mathematical Journal;2003-03-01

4. Hamiltonian geodesics in nonholonomic differential systems;Reports on Mathematical Physics;1997-10

5. Covariant symplectic geometry of binary forms and singularities of systems of rays;Reports on Mathematical Physics;1992-04