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Ohne Zusammenfassung 相似文献
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Johannes C. C. Nitsche 《Mathematische Annalen》1963,149(2):144-149
Ohne ZusammenfassungDiese Arbeit ist unter Contract Nonr-710(16) zwischen der Universität von Minnesota und dem Office of Naval Research vorbereitet worden. 相似文献
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Prof. Dr. Karl Strubecker 《Monatshefte für Mathematik》1977,84(4):303-339
One determines all the minimal surfaces of the isotropic space, which simultaneously are affinminimal surfaces. A characteristic property of those surfaces is that the isotropic spherical imagines of the asymptotic lines of form two orthogonal pencils of circles. There are three types of such surfaces : first the well known right helicoid
I
, second an interesting transcendental surface
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, and third the isotropic analogy
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of the minimal surface ofEnneper. The surfaces permit cinematic generations. Especially
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and
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can be generated byClifford screws in a certain indefinite quasielliptic space.In the isotropic space conjugate to the surfaces are isotropic minimal surfaces
* with plane lines of curvature. There are also three types of such surfaces:
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*
is a logarithmic surface of revolution,
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is an interesting transcendental surface, and
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*
is again the isotropic minimal surface ofEnnerper. 相似文献
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Helmut Pottmann 《manuscripta mathematica》1988,60(2):217-220
Zindler-curves in Euclidean plane 2 are closed curves with a one-parametric set of congruent main chords which bisect both the length and the enclosed area of the curve. Related curves z n have been studied by J.Hoschek [2], [3] (in the case n=3) and B.Wegner [8] (for arbitrary n2). In this note we generalize the results on Zindler-curves in n. These curves can simply be generated since the midpoints of the main chords are situated on the striction curve of the main chord-surface. 相似文献
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