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Certain surfaces of voss and surfaces associated with them

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References

  1. 1)

    L. Bianchi,Sopra una classe di superficie collegate alle congruente pseudosferiche [Rendiconti del Circolo Matematico di Palermo, t. XL (2° semestie 1915), pp. 110–152].

  2. 2)

    L. P. Eisenhart,Conjugate systems with equal Tangential Invariants and the Transformation of Moutard [Rendiconti del Circolo Matematico di Palermo, t. XXXIX (i° semestre 1915), pp. 153–176]. In what follows, this memoir will be referred to as M.

  3. 3)

    The formulas ot this section can be obtained from those of §§ I, 3, M, by taking σ = const.4) The results of this section follow from §§ 3, 5 and 6, M., when we take σ = σ1 = 1.

  4. 5)

    1. c.2) n° 86,

  5. 6)

    Cfr. 1. c. 2), n1 78-80.

  6. 7)

    1. C. 1).

  7. 8)

    G. Darboux,Leçons sur la théorie générale des surfaces, IIe partie (Paris, Gauthier-Villars, 1889), p. 383. For a full treatment of these transformations see the author’s paper:Deformatile Transformations of Ribaucour [Transactions of the American Mathematical Society, vol. XVII (1916), pp. 437-458]; from the first section of which we obtain the equations used in the present paper.

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Correspondence to Luther Pfahler Eisenhart.

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Eisenhart, L.P. Certain surfaces of voss and surfaces associated with them. Rend. Circ. Mat. Palermo 42, 145–166 (1916). https://doi.org/10.1007/BF03014896

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