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References
BARNER, M.: Über die Mindestanzahl stationärer Schmiegebenen bei geschlossenen streng-konvexen Raumkurven. Abh. Math. Sem. Univ. Hamburg, 20 (1956), 196–215.
BARNER, M. and FLOHR, F.: Der Vierscheitelsatz und seine Verallgemeinerungen. Der Math. Unterr. (1958), 43–73.
BISZTRICZKY, T.: Inflectional convex space curves. Can. J. Math., 36 (1984), 537–549.
JACKSON, S.B.: The four-vertex theorem for spherical curves. Amer. J. Math., 62 (1940), 795–812.
—: The four-vertex theorem for surfaces of constant curvature. Amer. J. Math., 67 (1945), 563–582.
MOHRMANN, H.: Die Minimalzahl der stationären Ebenen räumlichen Ovals. Sitz. Ber. kgl. Bayerischen Akad. Wissensch. Math. Phys. Kl. (1917), 1–3.
MUKHOPADHYAYA, S.: New methods in the geometry of a plane arc. I. Bull. Calcutta Math. Soc., 1 (1909), 31–37.
SCHERK, P.: The four-vertex theorem. Proc. Can. Math. Congress, (1945), 97–102.
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Dedicated to Professor M. Barner on his 65th birthday
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Bisztriczky, T. On the Four-vertex theorem for space curves. J Geom 27, 166–174 (1986). https://doi.org/10.1007/BF01224553
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DOI: https://doi.org/10.1007/BF01224553