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The computation of the index of a Morse function at a critical point

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  • Takis Sakkalis

Abstract

A theoretical approach in computing the index of a Morse function at a critical point on a real non-singular hypersurface V is given. As a consequence the Euler characteristic of V is computed. In the case where the hypersurface is polynomial and compact, a procedure is given that finds a linear function ℓ , whose restriction ℓ | V , is a Morse function on V .

Suggested Citation

  • Takis Sakkalis, 1988. "The computation of the index of a Morse function at a critical point," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:895192
    DOI: 10.1155/S0161171288000870
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