References
1827 [1] Gauss, C. F., Disquisitiones generales circa superficies curvas. Collected papers Vol. 4, 217–258.
1837 [1] Earnshaw, S., On fluid motion, so far as it is expressed by the equation of continuity. Transactions of the Cambridge Philosophical Society 6, 203–233.
1856 [1] Mainardi, G., Istituto Lombardo di scienze e lettere, Milan Giornale ... e biblioteca Italiana 9, 360.
1861 [1] Weingarten, J., Über eine Klasse aufeinander abwickelbarer Flächen. Journal für die reine und angewandte Mathematik (Crelle) 59, 382–393.
1868 [1] Codazzi, D., Annali di matematica pura e applicata 2, 273.
1871 [1] Beltrami, E., Sui principi fondamentali della idrodinamica. Memorie, Accademia delle Scienze dell' Istituto di Bologna (3) 1, 431–476; 2 (1872), 381–437; 3 (1873), 349–407; 5 (1874), 443–484=Richerche sulla cinematica dei fluidi, Opere 2, 202–379.
1925 [1] Levi-Civita, T., Lezioni di Calcolo Differenziale Assoluto. Roma.
1927 [1] Masotti, A., Decomposizione intrinseca del vortice e sue applicazioni. Istituto Lombardo di Scienze e Lettere, Rendiconti (2), 60, 869–874.
1927 [2] Weatherburn, C. E., Differential Geometry of Three Dimensions. Cambridge.
1930 [1] Weatherburn, C. E., Differential Geometry of Three Dimensions, Volume II. Cambridge.
1934 [1] Struik, D. J., Theory of Linear Connections. Berlin: Springer.
1936 [1] Vranceanu, M. G., Les espaces non holonomes et leurs applications mécaniques. Mémorial des sciences mathématiques, no. 76.
1943 [1] Sommerville, D. M. Y., Analytical Geometry of Three Dimensions. Cambridge.
1947 [1] Brand, L., Vector and Tensor Analysis. New York: John Wiley.
1951 [1] Bjørgum, O., On Beltrami vector fields and flows, Part 1. Universitet I Bergen, Årbok 1951, Naturvitenskapelig rekke nr. 1.
1951 [2] Schouten, J. A., Tensor Analysis for Physicists. Oxford: Clarendon.
1954 [1] Schouten, J. A., Ricci-Calculus, Second Edition. Berlin-Göttingen-Heidelberg: Springer.
1954 [2] Truesdell, C., The Kinematics of Vorticity. Bloomington: Indiana University Press.
1959 [1] Kreyszig, E., Differential Geometry. University of Toronto Press.
1966 [1] Yih, C-S, On the Earnshaw conjecture. Zeitschrift für angewandte Mathematik und Mechanik 46, 7, 471–472.
1967 [1] Marris, A. W., Vector fields of solenoidal vector-line rotation. Arch. Rational Mech. Anal. 27, 195–232.
1968 [1] Marris, A. W., & S. L. Passman, Generalized circulation-preserving flows. Arch. Rational Mech. Anal. 28, 245–264.
1969 [1] Marris, A. W., Addendum to “Vector fields of solenoidal vector-line rotation” (Vol. 27, No. 3, p. 195–232, 1967). A class of permanent flows of solenoidal vector-line rotation. Arch. Rational Mech. Anal., forthcoming.
Author information
Authors and Affiliations
Additional information
Communicated by C. Truesdell
Rights and permissions
About this article
Cite this article
Marris, A.W., Passman, S.L. Vector fields and flows on developable surfaces. Arch. Rational Mech. Anal. 32, 29–86 (1969). https://doi.org/10.1007/BF00253256
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00253256