Swimming in Curved Surfaces and Gauss Curvature
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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The quadrics are all surfaces that can be expressed as a second degree polynomialin x, y and z. We study the Gauss map G of quadric surfaces in the 3-dimensional Euclidean space R^3 with respect to the so called L_1 operator ( Cheng-Yau operator □) acting on the smooth functions defined on the surfaces. For any smooth functions f defined on the surfaces, L_f=tr(P_1o hessf), where P_1 is t...
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ژورنال
عنوان ژورنال: Universitas Scientiarum
سال: 2018
ISSN: 2027-1352,0122-7483
DOI: 10.11144/javeriana.sc23-2.sics