Embedded, Doubly Periodic Minimal Surfaces

Embedded, Doubly Periodic Minimal Surfaces

We consider the question of existence of embedded doubly periodic minimal surfaces in R 3 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 fin...

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Veröffentlicht in:Experimental mathematics 2000-01, Vol.9 (2), p.197-219
Hauptverfasser: Rossman, Wayne, Thayer, Edward C., Wohlgemuth, Meinhard
Format: Artikel
Sprache:eng
Schlagworte:
49Q05
53A10
53C42
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Zusammenfassung:We consider the question of existence of embedded doubly periodic minimal surfaces in R 3 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.
ISSN:1058-6458
1944-950X
DOI:10.1080/10586458.2000.10504646