Embedded, Doubly Periodic Minimal Surfaces

@article{Rossman2000EmbeddedDP,
  title={Embedded, Doubly Periodic Minimal Surfaces},
  author={W. Rossman and E. Thayer and M. Wohlgemuth},
  journal={Experimental Mathematics},
  year={2000},
  volume={9},
  pages={197 - 219}
}
  • W. Rossman, E. Thayer, M. Wohlgemuth
  • Published 2000
  • Mathematics, Computer Science
  • Experimental Mathematics
  • We consider the question of existence of embedded doubly periodic minimal surfaces in R3 with Scherk-type ends, surfaces that topologically are Scherk'sdoubly 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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