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Bulletin of the American Mathematical Society

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Quadrics associated with a curve on a surface


Author: V. G. Grove
Journal: Bull. Amer. Math. Soc. 51 (1945), 281-287
DOI: https://doi.org/10.1090/S0002-9904-1945-08335-9
MathSciNet review: 0011788
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  • 1. P. O. Bell, A study of curved surfaces by means of certain associated ruled surfaces, Trans. Amer. Math. Soc. vol. 46 (1939) pp. 389-409. MR 510
  • 2. E. Čech, L' intorno d'un punto d'una superficie considerato dal punto di vista proiettiva, Annali di Matematica (3) vol. 31 (1922) pp. 191-206.
  • 3. W. M. Davis, Contributions to the general theory of conjugate nets, Dissertation, Chicago, 1932.
  • 4. L. Green, The axial quadrics of a surface, Duke Math. J. vol. 10 (1943) pp. 557-564. MR 8929
  • 5. V. G. Grove, The transformation of Čech, Bull. Amer. Math. Soc. vol. 50 (1944) pp. 231-234. MR 9878
  • 6. C. C. Hsiung, Plane sections of certain ruled surfaces associated with a curved surface, Duke Math. J. vol. 11 (1944) pp. 59-64. MR 9879
  • 7. E. P. Lane, A treatise on projective differential geometry, The University of Chicago Press, 1942. MR 7286
  • 8. E. P. Lane, The correspondence between the tangent plane of a surface and its point of contact, Amer. J. Math. vol. 48 (1926) pp. 204-214. MR 1506586
  • 9. George Wu, Systems of quadrics associated with a point on a surface, I, II, Duke Math. J. vol. 10 (1943) pp. 499-513, 515-530. MR 9490


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1945-08335-9

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