, Volume 143, Issue 1, pp 1-27

Classification of doubly-periodic minimal surfaces of genus zero

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We prove that if the quotient surface of a properly embedded doubly–periodic minimal surface in ℝ3 has genus zero, then the surface is one of the classical Scherk examples.

Oblatum 30-IX-1998 & 18-II-2000¶Published online: 30 October 2000