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Q: On Kühnel--Dillen's determinant condition for Weingarten surfaces

DersoConsider the following definition: A surface is Weingarten if there's a nontrivial functional relation $$\Psi(H,K)=0$$ between its mean and gaussian curvatures $H$ and $K$, respectively. Many works out there (see e.g. the introduction of this Dillen's student thesis) say this definition is equi...

Encyclopedia of Mathematics: Weingarten surface

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