The notes reformulate tautness via parabolic pencils of spheres and prove that tautness is invariant under Lie sphere transformations.
Banchoff,The spherical two-piece property and tight surfaces in spheres, J
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Notes on the Invariance of Tautness Under Lie Sphere Transformations
The notes reformulate tautness via parabolic pencils of spheres and prove that tautness is invariant under Lie sphere transformations.