Gauss curvature of Gaussian image of minimal surfaces
نویسندگان
چکیده
منابع مشابه
On the Gauss Curvature of Minimal Surfaces!?)
1. Summary of results. The following is known: let 5 be a minimal surface defined by z=f(x, y) over the region D:x2+y2<R2, and let p be the point of S over the origin. Let W= (1+fl+fl)112 at p. Then the Gauss curvature K at p satisfies \K\ Sc/R2W2. The best numerical value of c known previously was 12.25. This inequality is simultaneously sharpened and generalized. First of all, it is proved th...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1993
ISSN: 0386-5991
DOI: 10.2996/kmj/1138039705