The notes reformulate tautness via parabolic pencils of spheres and prove that tautness is invariant under Lie sphere transformations.
´Alvarez Paiva,Contact topology, taut immersions, and Hilbert’s fourth problem, Differential and symplectic topology of knots and curves, 1–21, Amer
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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.