A general theory of surfaces and conjugate nets
Author:
V. G. Grove
Journal:
Trans. Amer. Math. Soc. 57 (1945), 105122
MSC:
Primary 53.0X
MathSciNet review:
0011582
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References 
Similar Articles 
Additional Information
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, Memoir on the general theory of surfaces and rectilinear congruences, Trans. Amer. Math. Soc. vol. 20 (1919) pp. 80153.
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G. Grove, A canonical form of Green’s
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, A tensor analysis for a in a projective space , Bull. Amer. Math. Soc. vol. 45 (1939) pp. 385398.
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 [1]
 P. O. Bell, Projective analogues of the congruence of normals, Amer. J. Math. vol. 52 (1940) pp. 680686. MR 0002236 (2:18a)
 [2]
 , On differential geometry intrinsically connected with a surface element of projective arc length, Trans. Amer. Math. Soc. vol. 50 (1941) pp. 529547. MR 0005687 (3:188f)
 [3]
 G. M. Green, On the theory of curved surfaces and canonical systems in projective differential geometry, Trans. Amer. Math. Soc. vol. 16 (1915) pp. 112. MR 1500993
 [4]
 , Projective differential geometry of oneparameter families of space curves, and conjugate nets on a curved surface, second memoir, Amer. J. Math. vol. 38 (1916) pp. 287324. MR 1506292
 [5]
 , Memoir on the general theory of surfaces and rectilinear congruences, Trans. Amer. Math. Soc. vol. 20 (1919) pp. 80153.
 [6]
 V. G. Grove, A canonical form of Green's projective analogue of the Gauss differential equations, Trans. Amer. Math. Soc. vol. 32 (1930) pp. 473484. MR 1501546
 [7]
 , On canonical forms of differential equations, Bull. Amer. Math. Soc. vol. 36 (1930) pp. 582586. MR 1561998
 [8]
 , A tensor analysis for a in a projective space , Bull. Amer. Math. Soc. vol. 45 (1939) pp. 385398.
 [9]
 E. P. Lane, Projective differential geometry of curves and surfaces, The University of Chicago Press, 1932.
 [10]
 , A treatise on projective differential geometry, The University of Chicago Press, 1942. MR 0007286 (4:114b)
 [11]
 E. J. Wilczynski, Geometrical significance of isothermal conjugacy, Amer. J. Math. vol. 42 (1920) pp. 211221. MR 1506415
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947194500115827
PII:
S 00029947(1945)00115827
Article copyright:
© Copyright 1945
American Mathematical Society
