Near the Fuchsian locus, the measured foliations at infinity of quasi-Fuchsian manifolds form a filling pair, and every filling pair appears after sufficiently small rescaling.
Kerckhoff, Lines of minima in teichm¨ uller space.Duke Mathematical Journal, 65(2) (1992) 12 DIPTAISHIK CHOUDHURY AND VLADIMIR MARKOVI ´C
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Measured foliations at infinity of quasi-Fuchsian manifolds
Near the Fuchsian locus, the measured foliations at infinity of quasi-Fuchsian manifolds form a filling pair, and every filling pair appears after sufficiently small rescaling.