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Über geschlossene affine Zwangläufe in der Ebene. (German) Zbl 0383.53002


MSC:

53A17 Differential geometric aspects in kinematics
53A15 Affine differential geometry

References:

[1] BLASCHKE, W./MÜLLER, H.R.: Ebene Kinematik, München 1956.
[2] BOL, G.: Projektive Differentialgeometrie I. Göttingen 1950. · Zbl 0035.23401
[3] DOUGLAS, V./HEIL, E./LÜBBERT, C.: Geradenfamilien, Enveloppen und Evoluten. Journal r.a.Math.283/284 (1976), 370-383. · Zbl 0326.50015
[4] HAMMER, P.C./SOBCZYK, A.: Planar line families I, II. Proc. Amer. Math. Soc.4 (1953) 226-233, 341-349. · Zbl 0051.13502 · doi:10.1090/S0002-9939-1953-0053533-5
[5] HAYASHI, T.: Some geometrikal applikations of Fourier serien. Rend. Circ. Matem. Palermo,50 (1926), 96-102 · JFM 52.0771.02 · doi:10.1007/BF03014758
[6] KRASNOSELSKI, M.A./ PEROW, A.I./ POWOLOZKI, A.I./SABREJKO, P.P.: Vektorfelder in der Ebene. Berlin 1966.
[7] LÜBBERT, C.: Symmetrieeigenschaften ebener periodischer Bewegungsvorgänge, ZAMM52 (1972) 311-314. · Zbl 0252.50008 · doi:10.1002/zamm.19720520504
[8] MORSE, M.: Topological methods in the theory of functions of a complex variable (Ann. of math. studies, Nr.15) Princeton University Press, 1947.
[9] MÜLLER, H.R.: Bewegungsvorgänge mit mehrfach durchlaufenen Bahnkurven. Monatsh. Math.67 (1963) 326-334. · Zbl 0145.44702 · doi:10.1007/BF01299583
[10] WHITNEY, H.: On regular closed curves in the plane. Compos. math.4 (1937) 276-284. · JFM 63.0647.01
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