A general theory of surfaces and conjugate nets

Author:
V. G. Grove

Journal:
Trans. Amer. Math. Soc. **57** (1945), 105-122

MSC:
Primary 53.0X

DOI:
https://doi.org/10.1090/S0002-9947-1945-0011582-7

MathSciNet review:
0011582

Full-text PDF

References | Similar Articles | Additional Information

**[1]**P. O. Bell,*Projective analogues of the congruence of normals*, Amer. J. Math. vol. 52 (1940) pp. 680-686. 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. 529-547. 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. 1-12. MR**1500993****[4]**-,*Projective differential geometry of one-parameter families of space curves, and conjugate nets on a curved surface*, second memoir, Amer. J. Math. vol. 38 (1916) pp. 287-324. MR**1506292****[5]**-,*Memoir on the general theory of surfaces and rectilinear congruences*, Trans. Amer. Math. Soc. vol. 20 (1919) pp. 80-153.**[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. 473-484. MR**1501546****[7]**-,*On canonical forms of differential equations*, Bull. Amer. Math. Soc. vol. 36 (1930) pp. 582-586. MR**1561998****[8]**-,*A tensor analysis for a**in a projective space*, Bull. Amer. Math. Soc. vol. 45 (1939) pp. 385-398.**[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. 211-221. MR**1506415**

Retrieve articles in *Transactions of the American Mathematical Society*
with MSC:
53.0X

Retrieve articles in all journals with MSC: 53.0X

Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1945-0011582-7

Article copyright:
© Copyright 1945
American Mathematical Society