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arXiv · 0912.4964

Embedded, Doubly Periodic Minimal Surfaces

Wayne Rossman·Edward C. Thayer·Meinhard Wohlgemuth
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Abstract

We consider the question of existence of embedded doubly periodic minimal surfaces in Euclidean 3-space with Scherk-type ends, surfaces that topologically are Scherk's doubly periodic surface with handles added in various ways. We extend the existence results of H. Karcher and F. Wei to more cases, and we find other cases where existence does not hold.

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Wayne Rossman, Edward C. Thayer, Meinhard Wohlgemuth. 2009-12-25. Embedded, Doubly Periodic Minimal Surfaces. https://arxiv.org/abs/0912.4964

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