Viviani曲线上管状曲面的全平均曲率

The Completely Equal Curvature of Tubular Surface on Viviani's Curve

给出了T.J.Willmore猜想的一个推广,说明Viviani曲线上管状曲面的全平均曲率满足22π<∫∫M2H2dA<52π。

This paper affords a promotion about Willmore＇s supposition.The completely equal curvature of tubular surface on Viviani＇s Curve supports √2π^2〈∫∫M^2H^2dA〈√5π^2.