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

Takis Sakkalis

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-6

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 .

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:895192

DOI: 10.1155/S0161171288000870

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