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Linear independence of Morse functions on manifolds

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Ukrainian Mathematical Journal Aims and scope

Abstract

It is proved that on a smooth n-dimensional manifold there exist n linearly independent Morse functions.

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Literature cited

  1. M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities, Springer, Berlin (1973).

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  2. Th. Bröcker and L. Lander, Differentiable Germs and Catastrophes, Cambridge University Press, Cambridge (1975).

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  3. J. Milnor, Morse Theory, Princeton University Press, Princeton, New Jersey (1963).

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Authors and Affiliations

  1. Syria

    Kh. Asvad

Authors
  1. Kh. Asvad
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 835–838, June, 1990.

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Asvad, K. Linear independence of Morse functions on manifolds. Ukr Math J 42, 737–739 (1990). https://doi.org/10.1007/BF01058925

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  • DOI: https://doi.org/10.1007/BF01058925

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