Convex Combinations of Minimal Graphs
نویسندگان
چکیده
Given a collection of minimal graphs,M1,M2, . . . ,Mn, with isothermal parametrizations in terms of the Gauss map and height differential, we give sufficient conditions onM1,M2, . . . ,Mn so that a convex combination of themwill 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.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012