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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 Conf\`erences de l'Union Math\'ematique Internationale, no. 9, Gen\`eve, Enseign Math. (2) 34, (1989).
- [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.
- [AG]
- V. I. Arnold and A. B. Givental, Symplectic geometry, Itogi Nauki i Tekhniki, Sovre mennye Problemy Matematiki Fundamental\cprime nye Napravleniya vol. 1, VINITI, Moscow, 1985.
- [AVG]
- V. I. Arnold, A. N. Varchenko, and S. M. Gusein-Zade, Singularities of differentiable maps, Vol. 1, ``Nauka'', Moscow, 1982.
- [B]
- G. R. Belitski\u \i, Functional equations and local conjugacy of mappings of class $C^\infty $, Mat. Sb. \textbf{91} (1973), 565--579.
- [L]
- V. V. Lychagin, Local classification of non-linear first-order partial differential equations, Uspekhi Mat. Nauk \textbf{30 \rm (1)} (1975), 101--171.
- [Mar]
- J. Martinet, Sur les singularit\'es des formes diff\'erentielles, Ann. Inst. Fourier (Grenoble) \textbf{20} (1970), 95--178.
- [Mat]
- J. Mather, Stability of $C^\infty $ mappings, Part 5, Adv. Math. \textbf{4} (1970), 301--335.
- [M]
- J. Moser, On the volume element on a manifold, Trans. Amer. Math. Soc. \textbf{120} (1965), 286--294.
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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