“Kuen Surface”的概念、定义、习题解题方法及翻译-数学辞典

单词

Kuen Surface

释义

Kuen Surface

A special case of Enneper's Negative Curvature Surfaces which can be given parametrically by

			(1)
			(2)
			(3)
			(4)
			(5)

for

(Reckziegel et al. 1986). The Kuen surface has constant NegativeGaussian Curvature of

. The Principal Curvatures are given by

			(6)

			(7)

See also Enneper's Negative Curvature Surfaces, Rembs' Surfaces, Sievert's Surface

References

Fischer, G. (Ed.). Plate 86 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, p. 82, 1986.

Gray, A. ``Kuen's Surface.'' §19.4 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 384-386, 1993.

Kuen, T. ``Ueber Flächen von constantem Krümmungsmaass.'' Sitzungsber. d. königl. Bayer. Akad. Wiss. Math.-phys. Classe, Heft II, 193-206, 1884.

Nordstrand, T. ``Kuen's Surface.'' http://www.uib.no/people/nfytn/kuentxt.htm.

Reckziegel, H. ``Kuen's Surface.'' §3.4.4.2 in Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, p. 38, 1986.

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