Parametrization of a Family of Minimal Surfaces Bounded by the Broken Lines in
Abstract Consideration is given to a family of minimal surfaces bounded by the broken lines in which are locally injectively projected onto the coordinate plane. The considered family is bijectively mapped by means of the Enepper–Weierstrass representation onto a set of circular polygons of a certain type. The parametrization of this set is constructed, and the dimension of the parameter domain is established.
1994 ◽
Vol 209
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2011 ◽
Vol 60
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pp. 311-323
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2009 ◽
Vol 194
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pp. 149-167
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2005 ◽
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pp. 1603-1612
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1997 ◽
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pp. 367-377
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1990 ◽
Vol 51
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pp. C7-149-C7-156
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1984 ◽
1990 ◽
Vol 51
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pp. C7-265-C7-271
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