Convex Combinations of Minimal Graphs
oleh: Michael Dorff, Ryan Viertel, Magdalena WoΕoszkiewicz
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 2012-01-01 |
Deskripsi
Given a collection of minimal graphs, π1,π2,β¦,ππ, with isothermal parametrizations in terms of the Gauss map and height differential, we give sufficient conditions on π1,π2,β¦,ππ so that a convex combination of them will be a minimal graph. We will then provide two examples, taking a convex combination of Scherk's doubly periodic surface with the catenoid and Enneper's surface, respectively.