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Book Review
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Book Information
Author(s):
Michail Zhitomirskii
Title:
Typical singularities of differential 1-forms and Pfaffian equations
Additional book information:
American Mathematical Society, Providence, RI, 1992, xi\,+176 pp., US$116.00. ISBN 0-8218-4567-5
References:
-
- [A1]
- V. I. Arnold, Contact geometry and wave propagation, Serie des Confèerences de l'Union Mathématique Internationale, no. 9, Genève, Enseign Math. (2) 34, (1989). MR 1033735 (91k:58129)
- [AKN]
- V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt, Mathematical aspects of classical and celestial mechanics, Encyclopaedia Math. Sci.--Dynamical Systems III, Springer-Verlag, Berlin, 1988. MR 2269239 (2008a:70001)
- [AG]
- V. I. Arnold and A. B. Givental, Symplectic geometry, Itogi Nauki i Tekhniki, Sovre mennye Problemy Matematiki Fundamental'nye Napravleniya vol. 1, VINITI, Moscow, 1985; English transl. in Encyclopaedia Math. Sci., Springer-Verlag, Berlin, 1988. MR 842908 (88b:58044)
- [AVG]
- V. I. Arnold, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of differentiable maps, Vol. 1, "Nauka", Moscow, 1982; English transl., Birkhäuser, Basel, 1985. MR 685918 (84m:58016)
- [B]
- G. R. Belitskiĭ, Functional equations and local conjugacy of mappings of class
 , Mat. Sb. 91 (1973), 565-579; English transl. in Math. USSR-Sb. 20 (1974), 587-602. MR 0358852 (50:11311) - [L]
- V. V. Lychagin, Local classification of non-linear first-order partial differential equations, Uspekhi Mat. Nauk 30 (1) (1975), 101-171; English transl. in Russian Math. Surveys 30 (1) (1975), 105-176. MR 0420679 (54:8691)
- [Mar]
- J. Martinet, Sur les singularités des formes différentielles, Ann. Inst. Fourier (Grenoble) 20 (1970), 95-178. MR 0286119 (44:3333)
- [Mat]
- J. Mather, Stability of
 mappings, Part 5, Adv. Math. 4 (1970), 301-335. MR 0275461 (43:1215c) - [M]
- J. Moser, On the volume element on a manifold, Trans. Amer. Math. Soc. 120 (1965), 286-294. MR 0182927 (32:409)
Additional Information:
Reviewer(s):
Robert
Roussarie
Review Information:
Journal:
Bull. Amer. Math. Soc.
31
(1994),
98-102.
DOI:
10.1090/S0273-0979-1994-00484-7
PII:
S 0273-0979(1994)00484-7
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