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Surfaces of Gaussian curvature zero in Euclidean 3-space. (English) Zbl 0114.36903


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[1] HARTMAN AND L. NIRENBERG, On spherical image mapswhose Jacobians do not change signs. Amer. Jour. Math., 81(1959), 901-920. JSTOR: · Zbl 0094.16303 · doi:10.2307/2372995
[2] P. HARTMAN AND A. WINTNER, The fundamentalequationsof differentialgeo metry, Amer. Jour. Math., 72(1950), 757-774. JSTOR: · Zbl 0039.16802 · doi:10.2307/2372293
[3] A. V. POGORELOV, Extensions of the theorem of Gauss on spherical representatio to the case of surfaces of bounded extrinsic curvature, Dokl, Akad, Nauk, SSSR(N. S.), 111(1956), 945-947 (Russian). · Zbl 0072.39901
[4] D. J. STRUTK, Lectures on classical differential geometry. Addison-Wesley Press, 1950. · Zbl 0041.48603
[5] A. WINTNER, On Frenet’s equations, Amer. Jour. Math., 78(1956), 349-356 JSTOR: · Zbl 0071.37302 · doi:10.2307/2372520
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