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Results tagged with critical-point-theory
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user 2555
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votes
Bijection of critical points on two manifolds
Consider the Lagrange multiplier
$$F(x, t, c) = f(x) + t( g(x) - c).$$
If $g$ satisfies your condition and $f$ is generic, then one can show that
$$S:= \{ (x, t, c)\ |\ \nabla f(x) + t \nabla g(x) = 0 …
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