Bridge principle for constant and positive Gauss curvature surfaces
نویسندگان
چکیده
منابع مشابه
Estimates in Surfaces with Positive Constant Gauss Curvature
We give optimal bounds of the height, curvature, area and volume of K-surfaces in R3 bounding a planar curve. The spherical caps are characterized as the unique K-surfaces achieving these bounds.
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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: Communications in Analysis and Geometry
سال: 1999
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.1999.v7.n3.a2