Abstract
A surface, generated by a one-parameter family of conics in projective 3-space, such that the tangent planes along a generating conic form a quadric cone, is called a surface of Blutel [1]. The surface is said to be of hyperbolic type, if the characteristic line of the plane of a generating conic intersects it in two different real points s1, s2. Formerly [5] it was shown that such a surface must be a quadric if it is unbranched along the curves, generated by s1, s2, these points not being stationary. In the present paper analogous results are established in the remaining cases when one or both points s1, s2 are fixed.
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Herrn Prof. Dr. K. Strubecker zum 80. Geburtstag gewidmet
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Degen, W. Zur Kennzeichnung von Quadriken unter den Kegelschnittflächen. J Geom 23, 141–151 (1984). https://doi.org/10.1007/BF01222653
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DOI: https://doi.org/10.1007/BF01222653