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The nonexistence of globally stable forms


Authors: Martin Golubitsky and David Tischler
Journal: Proc. Amer. Math. Soc. 58 (1976), 296-300
MSC: Primary 58A10
DOI: https://doi.org/10.1090/S0002-9939-1976-0415656-3
MathSciNet review: 0415656
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Abstract: It is shown that on a closed manifold there are no globally stable differential forms.


References [Enhancements On Off] (What's this?)

  • [1] J. Martinet, Sur les singularités des formes différentielles, Ann. Inst. Fourier (Grenoble) 20 (1970), fasc. 1, 95-178. MR 44 #3333. MR 0286119 (44:3333)
  • [2] J. K. Moser, On the volume elements on a manifold, Trans. Amer. Math. Soc. 120 (1965), 286-294. MR 32 #409. MR 0182927 (32:409)
  • [3] G. Chatelet and H. Rosenberg, Conjugacy of closed non-vanishing $ 1$-forms (to appear).

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DOI: https://doi.org/10.1090/S0002-9939-1976-0415656-3
Article copyright: © Copyright 1976 American Mathematical Society

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