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International Journal of Mathematics and Mathematical Sciences
Paper

The Computation of the Index of a Morse Function at a Critical Point

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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. © 1988, Hindawi Publishing Corporation. All rights reserved.

Date

01 Jan 1988

Publication

International Journal of Mathematics and Mathematical Sciences

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