Morse function

English

Etymology

Named after Marston Morse.

Noun

Morse function (plural Morse functions)

  1. A real-valued function on a differentiable manifold such that, at each point in its domain where the function's differential is zero, the function's Hessian is nonsingular.

Usage notes

  • Some sources require also for each t∈ℝ that the preimage of (−∞,t) be compact, or that the preimage of t contain at most one point with zero differential.

Further reading

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