一类具有常K?hler角的四维复欧氏空间浸入环面

邓俐伶 侯中华

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PDF(315 KB)
大连民族大学学报 ›› 2012, Vol. 14 ›› Issue (01) : 50-52.
物理与数学

一类具有常K?hler角的四维复欧氏空间浸入环面

  • 邓俐伶1,侯中华2,3
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Torus of Constant K?hler Angle Immersed into the Four-dimensional Complex Euclidean Space

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摘要

在文献[1]所做工作的基础上,进一步研究了四维复欧氏空间单位球面中的一类浸入环面在K?hler角取常数情形下的存在性问题。根据其参数表示中坐标多项式系数满足的约束条件方程组,在系数n=1时找到了一类具有常K?hler角浸入环面的标准型,并根据其标准型进一步讨论了Guass曲率等相关几何性质。

Abstract

In this paper, we mainly study the existence problem of one type of torus of constant K?hler angle immersed into the four-dimensional Complex Euclidean Space. Based on the constraint equations of coordinate polynomial coefficients in its parametric expression, the standard form can be found when n is equal to 1, according to which some related geometric qualities such as Guass curvature and so on are discussed further.

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邓俐伶 侯中华. 一类具有常K?hler角的四维复欧氏空间浸入环面. 大连民族大学学报. 2012, 14(01): 50-52
Torus of Constant K?hler Angle Immersed into the Four-dimensional Complex Euclidean Space. Journal of Dalian Minzu University. 2012, 14(01): 50-52
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