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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.17 No.4

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EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS

EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2010, v.17 no.4, pp.299-306
Jin, Sun-Sook (Department of Mathematics Education, Gongju National University of Education)
Jin, Sun-Sook. (2010). EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS, 17(4), 299-306.

Abstract

In this article we consider axes of a complete embedded minimal surface in $R^3$ of finite total curvature, and then prove that there is no planar ends at which the Gauss map have the minimum branching order if the minimal surface has a single axis.

keywords
minimal surfaces, axis, flux, torque

참고문헌

1.

2.

(1983). . J. Diff. Geom., 18, 701-809.

3.

JIN. (2001). . Kyushu Journal of Mathematics, 55(2), 351-368. 10.2206/kyushujm.55.351.

4.

Hoffman. (1990). . Inventiones Mathematicae, 101(1), 373-377. 10.1007/BF01231506.

5.

6.

(1996). .

7.

한국수학교육학회지시리즈B:순수및응용수학

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