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On the local stability of differential forms. (English) Zbl 0339.58003


MSC:

58A10 Differential forms in global analysis
37C75 Stability theory for smooth dynamical systems
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[1] M. Golubitsky and V. Guillemin, Stable mappings and their singularities, Springer-Verlag, New York-Heidelberg, 1973. Graduate Texts in Mathematics, Vol. 14. · Zbl 0294.58004
[2] Martin Golubitsky and David Tischler, The nonexistence of globally stable forms, Proc. Amer. Math. Soc. 58 (1976), 296 – 300. · Zbl 0335.58001
[3] C. Hsiung, On the stability of differential forms, Thesis, University of Illinois, Urbana, Ill., 1973.
[4] Jean Martinet, Sur les singularités des formes différentielles, Ann. Inst. Fourier (Grenoble) 20 (1970), no. fasc. 1, 95 – 178 (French, with English summary). · Zbl 0189.10001
[5] David G. Schaeffer, A regularity theorem for conservation laws, Advances in Math. 11 (1973), 368 – 386. · Zbl 0267.35009 · doi:10.1016/0001-8708(73)90018-2
[6] Gordon Wassermann, Stability of unfoldings, Lecture Notes in Mathematics, Vol. 393, Springer-Verlag, Berlin-New York, 1974. · Zbl 0288.57017
[7] E. C. Zeeman and D. J. A. Trotman, The classification of elementary catastrophes of codimension \( \leqslant 5\), Lecture Notes of Mathematics Institute, Univ. of Warwick, June 1974.
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