Stable Minimal Surfaces
نویسندگان
چکیده
Let M<=R be a minimal surface. A domain Z><= M is an open connected set with compact closure D and such that its boundary dD is a finite union of piecewise smooth curves. We say that D is stable if D is a minimum for the area function of the induced metric, for all variations of D which keep dD fixed. In this note we announce the following estimate of the "size" of a stable minimal surface. We will denote by S* the unit sphere of R*.
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